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Finding the Third Proportional to 240,341 and 556,373

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Solution

The third proportional to 240,341 and 556,373 is: 1,287,965.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,341 : 556,373 = 556,373 : x
  2. Step 2: Convert to fraction form
    240,341/556,373 = 556,373/x
  3. Step 3: Cross multiply
    240,341x = 556,373 × 556,373
  4. Step 4: Simplify right side
    240,341x = 309,550,915,129
  5. Step 5: Solve for x
    x = 309,550,915,129/240,341
  6. Step 6: Final answer
    x = 1,287,965.50

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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.