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Finding the Third Proportional to 211,304 and 469,854

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Solution

The third proportional to 211,304 and 469,854 is: 1,044,763.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,304 : 469,854 = 469,854 : x
  2. Step 2: Convert to fraction form
    211,304/469,854 = 469,854/x
  3. Step 3: Cross multiply
    211,304x = 469,854 × 469,854
  4. Step 4: Simplify right side
    211,304x = 220,762,781,316
  5. Step 5: Solve for x
    x = 220,762,781,316/211,304
  6. Step 6: Final answer
    x = 1,044,763.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.