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Finding the Third Proportional to 361,250 and 536,646

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Solution

The third proportional to 361,250 and 536,646 is: 797,201.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,250 : 536,646 = 536,646 : x
  2. Step 2: Convert to fraction form
    361,250/536,646 = 536,646/x
  3. Step 3: Cross multiply
    361,250x = 536,646 × 536,646
  4. Step 4: Simplify right side
    361,250x = 287,988,929,316
  5. Step 5: Solve for x
    x = 287,988,929,316/361,250
  6. Step 6: Final answer
    x = 797,201.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.