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Finding the Third Proportional to 234,560 and 553,160

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Solution

The third proportional to 234,560 and 553,160 is: 1,304,510.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,560 : 553,160 = 553,160 : x
  2. Step 2: Convert to fraction form
    234,560/553,160 = 553,160/x
  3. Step 3: Cross multiply
    234,560x = 553,160 × 553,160
  4. Step 4: Simplify right side
    234,560x = 305,985,985,600
  5. Step 5: Solve for x
    x = 305,985,985,600/234,560
  6. Step 6: Final answer
    x = 1,304,510.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.