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Finding the Third Proportional to 588,276 and 932,040

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Solution

The third proportional to 588,276 and 932,040 is: 1,476,685.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,276 : 932,040 = 932,040 : x
  2. Step 2: Convert to fraction form
    588,276/932,040 = 932,040/x
  3. Step 3: Cross multiply
    588,276x = 932,040 × 932,040
  4. Step 4: Simplify right side
    588,276x = 868,698,561,600
  5. Step 5: Solve for x
    x = 868,698,561,600/588,276
  6. Step 6: Final answer
    x = 1,476,685.37

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.