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Finding the Third Proportional to 369,042.75 and 551,638.13

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Solution

The third proportional to 369,042.75 and 551,638.13 is: 824,578.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,042.75 : 551,638.13 = 551,638.13 : x
  2. Step 2: Convert to fraction form
    369,042.75/551,638.13 = 551,638.13/x
  3. Step 3: Cross multiply
    369,042.75x = 551,638.13 × 551,638.13
  4. Step 4: Simplify right side
    369,042.75x = 304,304,620,953.52
  5. Step 5: Solve for x
    x = 304,304,620,953.52/369,042.75
  6. Step 6: Final answer
    x = 824,578.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.