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Finding the Third Proportional to 526,880.25 and 817,347.38

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Solution

The third proportional to 526,880.25 and 817,347.38 is: 1,267,947.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,880.25 : 817,347.38 = 817,347.38 : x
  2. Step 2: Convert to fraction form
    526,880.25/817,347.38 = 817,347.38/x
  3. Step 3: Cross multiply
    526,880.25x = 817,347.38 × 817,347.38
  4. Step 4: Simplify right side
    526,880.25x = 668,056,731,419.39
  5. Step 5: Solve for x
    x = 668,056,731,419.39/526,880.25
  6. Step 6: Final answer
    x = 1,267,947.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.