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Finding the Third Proportional to 252,546 and 561,146

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Solution

The third proportional to 252,546 and 561,146 is: 1,246,841.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,546 : 561,146 = 561,146 : x
  2. Step 2: Convert to fraction form
    252,546/561,146 = 561,146/x
  3. Step 3: Cross multiply
    252,546x = 561,146 × 561,146
  4. Step 4: Simplify right side
    252,546x = 314,884,833,316
  5. Step 5: Solve for x
    x = 314,884,833,316/252,546
  6. Step 6: Final answer
    x = 1,246,841.50

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.