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Finding the Third Proportional to 576,840 and 791,376

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Solution

The third proportional to 576,840 and 791,376 is: 1,085,701.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,840 : 791,376 = 791,376 : x
  2. Step 2: Convert to fraction form
    576,840/791,376 = 791,376/x
  3. Step 3: Cross multiply
    576,840x = 791,376 × 791,376
  4. Step 4: Simplify right side
    576,840x = 626,275,973,376
  5. Step 5: Solve for x
    x = 626,275,973,376/576,840
  6. Step 6: Final answer
    x = 1,085,701.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.