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Finding the Third Proportional to 596,982 and 842,008

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Solution

The third proportional to 596,982 and 842,008 is: 1,187,602.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,982 : 842,008 = 842,008 : x
  2. Step 2: Convert to fraction form
    596,982/842,008 = 842,008/x
  3. Step 3: Cross multiply
    596,982x = 842,008 × 842,008
  4. Step 4: Simplify right side
    596,982x = 708,977,472,064
  5. Step 5: Solve for x
    x = 708,977,472,064/596,982
  6. Step 6: Final answer
    x = 1,187,602.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.