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Finding the Third Proportional to 652,949.50 and 924,749

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Solution

The third proportional to 652,949.50 and 924,749 is: 1,309,688.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,949.50 : 924,749 = 924,749 : x
  2. Step 2: Convert to fraction form
    652,949.50/924,749 = 924,749/x
  3. Step 3: Cross multiply
    652,949.50x = 924,749 × 924,749
  4. Step 4: Simplify right side
    652,949.50x = 855,160,713,001
  5. Step 5: Solve for x
    x = 855,160,713,001/652,949.50
  6. Step 6: Final answer
    x = 1,309,688.90

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.