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Finding the Third Proportional to 371,766 and 561,132

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Solution

The third proportional to 371,766 and 561,132 is: 846,955.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,766 : 561,132 = 561,132 : x
  2. Step 2: Convert to fraction form
    371,766/561,132 = 561,132/x
  3. Step 3: Cross multiply
    371,766x = 561,132 × 561,132
  4. Step 4: Simplify right side
    371,766x = 314,869,121,424
  5. Step 5: Solve for x
    x = 314,869,121,424/371,766
  6. Step 6: Final answer
    x = 846,955.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.