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Finding the Third Proportional to 516,921.75 and 772,264.13

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Solution

The third proportional to 516,921.75 and 772,264.13 is: 1,153,737.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,921.75 : 772,264.13 = 772,264.13 : x
  2. Step 2: Convert to fraction form
    516,921.75/772,264.13 = 772,264.13/x
  3. Step 3: Cross multiply
    516,921.75x = 772,264.13 × 772,264.13
  4. Step 4: Simplify right side
    516,921.75x = 596,391,878,762.02
  5. Step 5: Solve for x
    x = 596,391,878,762.02/516,921.75
  6. Step 6: Final answer
    x = 1,153,737.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.