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Finding the Third Proportional to 476,782.50 and 720,034.13

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Solution

The third proportional to 476,782.50 and 720,034.13 is: 1,087,391.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,782.50 : 720,034.13 = 720,034.13 : x
  2. Step 2: Convert to fraction form
    476,782.50/720,034.13 = 720,034.13/x
  3. Step 3: Cross multiply
    476,782.50x = 720,034.13 × 720,034.13
  4. Step 4: Simplify right side
    476,782.50x = 518,449,141,164.52
  5. Step 5: Solve for x
    x = 518,449,141,164.52/476,782.50
  6. Step 6: Final answer
    x = 1,087,391.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.