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Finding the Third Proportional to 516,223.13 and 725,664.45

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Solution

The third proportional to 516,223.13 and 725,664.45 is: 1,020,080.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,223.13 : 725,664.45 = 725,664.45 : x
  2. Step 2: Convert to fraction form
    516,223.13/725,664.45 = 725,664.45/x
  3. Step 3: Cross multiply
    516,223.13x = 725,664.45 × 725,664.45
  4. Step 4: Simplify right side
    516,223.13x = 526,588,887,190.70
  5. Step 5: Solve for x
    x = 526,588,887,190.70/516,223.13
  6. Step 6: Final answer
    x = 1,020,080.00

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.