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Finding the Third Proportional to 365,508 and 562,528

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Solution

The third proportional to 365,508 and 562,528 is: 865,747.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,508 : 562,528 = 562,528 : x
  2. Step 2: Convert to fraction form
    365,508/562,528 = 562,528/x
  3. Step 3: Cross multiply
    365,508x = 562,528 × 562,528
  4. Step 4: Simplify right side
    365,508x = 316,437,750,784
  5. Step 5: Solve for x
    x = 316,437,750,784/365,508
  6. Step 6: Final answer
    x = 865,747.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.