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Finding the Third Proportional to 360,585 and 522,288

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Solution

The third proportional to 360,585 and 522,288 is: 756,506.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,585 : 522,288 = 522,288 : x
  2. Step 2: Convert to fraction form
    360,585/522,288 = 522,288/x
  3. Step 3: Cross multiply
    360,585x = 522,288 × 522,288
  4. Step 4: Simplify right side
    360,585x = 272,784,754,944
  5. Step 5: Solve for x
    x = 272,784,754,944/360,585
  6. Step 6: Final answer
    x = 756,506.11

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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.