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Finding the Third Proportional to 516,703.50 and 754,638.75

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Solution

The third proportional to 516,703.50 and 754,638.75 is: 1,102,140.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,703.50 : 754,638.75 = 754,638.75 : x
  2. Step 2: Convert to fraction form
    516,703.50/754,638.75 = 754,638.75/x
  3. Step 3: Cross multiply
    516,703.50x = 754,638.75 × 754,638.75
  4. Step 4: Simplify right side
    516,703.50x = 569,479,643,001.56
  5. Step 5: Solve for x
    x = 569,479,643,001.56/516,703.50
  6. Step 6: Final answer
    x = 1,102,140.09

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.