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Finding the Third Proportional to 369,552 and 557,656

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Solution

The third proportional to 369,552 and 557,656 is: 841,505.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,552 : 557,656 = 557,656 : x
  2. Step 2: Convert to fraction form
    369,552/557,656 = 557,656/x
  3. Step 3: Cross multiply
    369,552x = 557,656 × 557,656
  4. Step 4: Simplify right side
    369,552x = 310,980,214,336
  5. Step 5: Solve for x
    x = 310,980,214,336/369,552
  6. Step 6: Final answer
    x = 841,505.97

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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.