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Finding the Third Proportional to 268,700 and 586,521

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Solution

The third proportional to 268,700 and 586,521 is: 1,280,263.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,700 : 586,521 = 586,521 : x
  2. Step 2: Convert to fraction form
    268,700/586,521 = 586,521/x
  3. Step 3: Cross multiply
    268,700x = 586,521 × 586,521
  4. Step 4: Simplify right side
    268,700x = 344,006,883,441
  5. Step 5: Solve for x
    x = 344,006,883,441/268,700
  6. Step 6: Final answer
    x = 1,280,263.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.