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Finding the Third Proportional to 232,478 and 359,076

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Solution

The third proportional to 232,478 and 359,076 is: 554,614.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,478 : 359,076 = 359,076 : x
  2. Step 2: Convert to fraction form
    232,478/359,076 = 359,076/x
  3. Step 3: Cross multiply
    232,478x = 359,076 × 359,076
  4. Step 4: Simplify right side
    232,478x = 128,935,573,776
  5. Step 5: Solve for x
    x = 128,935,573,776/232,478
  6. Step 6: Final answer
    x = 554,614.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.