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Finding the Third Proportional to 520,515 and 709,114.50

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Solution

The third proportional to 520,515 and 709,114.50 is: 966,049.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,515 : 709,114.50 = 709,114.50 : x
  2. Step 2: Convert to fraction form
    520,515/709,114.50 = 709,114.50/x
  3. Step 3: Cross multiply
    520,515x = 709,114.50 × 709,114.50
  4. Step 4: Simplify right side
    520,515x = 502,843,374,110.25
  5. Step 5: Solve for x
    x = 502,843,374,110.25/520,515
  6. Step 6: Final answer
    x = 966,049.73

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.