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Finding the Third Proportional to 357,294,235.50 and 773,945,835.75

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Solution

The third proportional to 357,294,235.50 and 773,945,835.75 is: 1,676,467,452.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,294,235.50 : 773,945,835.75 = 773,945,835.75 : x
  2. Step 2: Convert to fraction form
    357,294,235.50/773,945,835.75 = 773,945,835.75/x
  3. Step 3: Cross multiply
    357,294,235.50x = 773,945,835.75 × 773,945,835.75
  4. Step 4: Simplify right side
    357,294,235.50x = 598,992,156,674,765,952
  5. Step 5: Solve for x
    x = 598,992,156,674,765,952/357,294,235.50
  6. Step 6: Final answer
    x = 1,676,467,452.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.