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Finding the Third Proportional to 240,221 and 556,046

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Solution

The third proportional to 240,221 and 556,046 is: 1,287,094.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,221 : 556,046 = 556,046 : x
  2. Step 2: Convert to fraction form
    240,221/556,046 = 556,046/x
  3. Step 3: Cross multiply
    240,221x = 556,046 × 556,046
  4. Step 4: Simplify right side
    240,221x = 309,187,154,116
  5. Step 5: Solve for x
    x = 309,187,154,116/240,221
  6. Step 6: Final answer
    x = 1,287,094.61

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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.