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Finding the Third Proportional to 497,575.50 and 749,946.75

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Solution

The third proportional to 497,575.50 and 749,946.75 is: 1,130,321.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,575.50 : 749,946.75 = 749,946.75 : x
  2. Step 2: Convert to fraction form
    497,575.50/749,946.75 = 749,946.75/x
  3. Step 3: Cross multiply
    497,575.50x = 749,946.75 × 749,946.75
  4. Step 4: Simplify right side
    497,575.50x = 562,420,127,835.56
  5. Step 5: Solve for x
    x = 562,420,127,835.56/497,575.50
  6. Step 6: Final answer
    x = 1,130,321.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.