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Finding the Third Proportional to 357,644 and 773,365

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Solution

The third proportional to 357,644 and 773,365 is: 1,672,314.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,644 : 773,365 = 773,365 : x
  2. Step 2: Convert to fraction form
    357,644/773,365 = 773,365/x
  3. Step 3: Cross multiply
    357,644x = 773,365 × 773,365
  4. Step 4: Simplify right side
    357,644x = 598,093,423,225
  5. Step 5: Solve for x
    x = 598,093,423,225/357,644
  6. Step 6: Final answer
    x = 1,672,314.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.