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Finding the Third Proportional to 516,690 and 754,618.50

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Solution

The third proportional to 516,690 and 754,618.50 is: 1,102,109.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,690 : 754,618.50 = 754,618.50 : x
  2. Step 2: Convert to fraction form
    516,690/754,618.50 = 754,618.50/x
  3. Step 3: Cross multiply
    516,690x = 754,618.50 × 754,618.50
  4. Step 4: Simplify right side
    516,690x = 569,449,080,542.25
  5. Step 5: Solve for x
    x = 569,449,080,542.25/516,690
  6. Step 6: Final answer
    x = 1,102,109.74

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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.