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Finding the Third Proportional to 575,558 and 1,265,324

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Solution

The third proportional to 575,558 and 1,265,324 is: 2,781,726.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,558 : 1,265,324 = 1,265,324 : x
  2. Step 2: Convert to fraction form
    575,558/1,265,324 = 1,265,324/x
  3. Step 3: Cross multiply
    575,558x = 1,265,324 × 1,265,324
  4. Step 4: Simplify right side
    575,558x = 1,601,044,824,976
  5. Step 5: Solve for x
    x = 1,601,044,824,976/575,558
  6. Step 6: Final answer
    x = 2,781,726.30

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.