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Finding the Third Proportional to 527,924 and 849,992

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Solution

The third proportional to 527,924 and 849,992 is: 1,368,542.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,924 : 849,992 = 849,992 : x
  2. Step 2: Convert to fraction form
    527,924/849,992 = 849,992/x
  3. Step 3: Cross multiply
    527,924x = 849,992 × 849,992
  4. Step 4: Simplify right side
    527,924x = 722,486,400,064
  5. Step 5: Solve for x
    x = 722,486,400,064/527,924
  6. Step 6: Final answer
    x = 1,368,542.44

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.