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Finding the Third Proportional to 265,304 and 572,624

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Solution

The third proportional to 265,304 and 572,624 is: 1,235,934.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,304 : 572,624 = 572,624 : x
  2. Step 2: Convert to fraction form
    265,304/572,624 = 572,624/x
  3. Step 3: Cross multiply
    265,304x = 572,624 × 572,624
  4. Step 4: Simplify right side
    265,304x = 327,898,245,376
  5. Step 5: Solve for x
    x = 327,898,245,376/265,304
  6. Step 6: Final answer
    x = 1,235,934.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.