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Finding the Third Proportional to 268,332 and 553,674

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Solution

The third proportional to 268,332 and 553,674 is: 1,142,446.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,332 : 553,674 = 553,674 : x
  2. Step 2: Convert to fraction form
    268,332/553,674 = 553,674/x
  3. Step 3: Cross multiply
    268,332x = 553,674 × 553,674
  4. Step 4: Simplify right side
    268,332x = 306,554,898,276
  5. Step 5: Solve for x
    x = 306,554,898,276/268,332
  6. Step 6: Final answer
    x = 1,142,446.29

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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.