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Finding the Third Proportional to 240,220 and 556,045

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Solution

The third proportional to 240,220 and 556,045 is: 1,287,095.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,220 : 556,045 = 556,045 : x
  2. Step 2: Convert to fraction form
    240,220/556,045 = 556,045/x
  3. Step 3: Cross multiply
    240,220x = 556,045 × 556,045
  4. Step 4: Simplify right side
    240,220x = 309,186,042,025
  5. Step 5: Solve for x
    x = 309,186,042,025/240,220
  6. Step 6: Final answer
    x = 1,287,095.34

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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.