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Finding the Third Proportional to 261,994 and 392,586

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Solution

The third proportional to 261,994 and 392,586 is: 588,272.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,994 : 392,586 = 392,586 : x
  2. Step 2: Convert to fraction form
    261,994/392,586 = 392,586/x
  3. Step 3: Cross multiply
    261,994x = 392,586 × 392,586
  4. Step 4: Simplify right side
    261,994x = 154,123,767,396
  5. Step 5: Solve for x
    x = 154,123,767,396/261,994
  6. Step 6: Final answer
    x = 588,272.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.