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Finding the Third Proportional to 588,280 and 932,046

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Solution

The third proportional to 588,280 and 932,046 is: 1,476,694.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,280 : 932,046 = 932,046 : x
  2. Step 2: Convert to fraction form
    588,280/932,046 = 932,046/x
  3. Step 3: Cross multiply
    588,280x = 932,046 × 932,046
  4. Step 4: Simplify right side
    588,280x = 868,709,746,116
  5. Step 5: Solve for x
    x = 868,709,746,116/588,280
  6. Step 6: Final answer
    x = 1,476,694.34

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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.