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Finding the Third Proportional to 592,930 and 887,774

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Solution

The third proportional to 592,930 and 887,774 is: 1,329,233.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,930 : 887,774 = 887,774 : x
  2. Step 2: Convert to fraction form
    592,930/887,774 = 887,774/x
  3. Step 3: Cross multiply
    592,930x = 887,774 × 887,774
  4. Step 4: Simplify right side
    592,930x = 788,142,675,076
  5. Step 5: Solve for x
    x = 788,142,675,076/592,930
  6. Step 6: Final answer
    x = 1,329,233.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.