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Finding the Third Proportional to 580,473 and 879,473

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Solution

The third proportional to 580,473 and 879,473 is: 1,332,487.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,473 : 879,473 = 879,473 : x
  2. Step 2: Convert to fraction form
    580,473/879,473 = 879,473/x
  3. Step 3: Cross multiply
    580,473x = 879,473 × 879,473
  4. Step 4: Simplify right side
    580,473x = 773,472,757,729
  5. Step 5: Solve for x
    x = 773,472,757,729/580,473
  6. Step 6: Final answer
    x = 1,332,487.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.