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Finding the Third Proportional to 360,532.13 and 522,208.69

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Solution

The third proportional to 360,532.13 and 522,208.69 is: 756,387.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,532.13 : 522,208.69 = 522,208.69 : x
  2. Step 2: Convert to fraction form
    360,532.13/522,208.69 = 522,208.69/x
  3. Step 3: Cross multiply
    360,532.13x = 522,208.69 × 522,208.69
  4. Step 4: Simplify right side
    360,532.13x = 272,701,913,300.47
  5. Step 5: Solve for x
    x = 272,701,913,300.47/360,532.13
  6. Step 6: Final answer
    x = 756,387.28

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.