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Finding the Third Proportional to 232,490 and 350,446

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Solution

The third proportional to 232,490 and 350,446 is: 528,248.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,490 : 350,446 = 350,446 : x
  2. Step 2: Convert to fraction form
    232,490/350,446 = 350,446/x
  3. Step 3: Cross multiply
    232,490x = 350,446 × 350,446
  4. Step 4: Simplify right side
    232,490x = 122,812,398,916
  5. Step 5: Solve for x
    x = 122,812,398,916/232,490
  6. Step 6: Final answer
    x = 528,248.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.