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Finding the Third Proportional to 573,876 and 842,382

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Solution

The third proportional to 573,876 and 842,382 is: 1,236,517.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,876 : 842,382 = 842,382 : x
  2. Step 2: Convert to fraction form
    573,876/842,382 = 842,382/x
  3. Step 3: Cross multiply
    573,876x = 842,382 × 842,382
  4. Step 4: Simplify right side
    573,876x = 709,607,433,924
  5. Step 5: Solve for x
    x = 709,607,433,924/573,876
  6. Step 6: Final answer
    x = 1,236,517.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.