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Finding the Third Proportional to 315,580 and 681,704

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Solution

The third proportional to 315,580 and 681,704 is: 1,472,591.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,580 : 681,704 = 681,704 : x
  2. Step 2: Convert to fraction form
    315,580/681,704 = 681,704/x
  3. Step 3: Cross multiply
    315,580x = 681,704 × 681,704
  4. Step 4: Simplify right side
    315,580x = 464,720,343,616
  5. Step 5: Solve for x
    x = 464,720,343,616/315,580
  6. Step 6: Final answer
    x = 1,472,591.24

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.