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Finding the Third Proportional to 275,098.78 and 567,875.81

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Solution

The third proportional to 275,098.78 and 567,875.81 is: 1,172,244.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,098.78 : 567,875.81 = 567,875.81 : x
  2. Step 2: Convert to fraction form
    275,098.78/567,875.81 = 567,875.81/x
  3. Step 3: Cross multiply
    275,098.78x = 567,875.81 × 567,875.81
  4. Step 4: Simplify right side
    275,098.78x = 322,482,938,422.54
  5. Step 5: Solve for x
    x = 322,482,938,422.54/275,098.78
  6. Step 6: Final answer
    x = 1,172,244.16

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.