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Finding the Third Proportional to 250,396 and 530,587

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Solution

The third proportional to 250,396 and 530,587 is: 1,124,309.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,396 : 530,587 = 530,587 : x
  2. Step 2: Convert to fraction form
    250,396/530,587 = 530,587/x
  3. Step 3: Cross multiply
    250,396x = 530,587 × 530,587
  4. Step 4: Simplify right side
    250,396x = 281,522,564,569
  5. Step 5: Solve for x
    x = 281,522,564,569/250,396
  6. Step 6: Final answer
    x = 1,124,309.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.