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Finding the Third Proportional to 240,341 and 556,374

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Solution

The third proportional to 240,341 and 556,374 is: 1,287,970.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,341 : 556,374 = 556,374 : x
  2. Step 2: Convert to fraction form
    240,341/556,374 = 556,374/x
  3. Step 3: Cross multiply
    240,341x = 556,374 × 556,374
  4. Step 4: Simplify right side
    240,341x = 309,552,027,876
  5. Step 5: Solve for x
    x = 309,552,027,876/240,341
  6. Step 6: Final answer
    x = 1,287,970.13

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.