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Finding the Third Proportional to 245,446 and 506,552

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Solution

The third proportional to 245,446 and 506,552 is: 1,045,423.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,446 : 506,552 = 506,552 : x
  2. Step 2: Convert to fraction form
    245,446/506,552 = 506,552/x
  3. Step 3: Cross multiply
    245,446x = 506,552 × 506,552
  4. Step 4: Simplify right side
    245,446x = 256,594,928,704
  5. Step 5: Solve for x
    x = 256,594,928,704/245,446
  6. Step 6: Final answer
    x = 1,045,423.14

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.