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Finding the Third Proportional to 532,764 and 791,046

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Solution

The third proportional to 532,764 and 791,046 is: 1,174,542.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,764 : 791,046 = 791,046 : x
  2. Step 2: Convert to fraction form
    532,764/791,046 = 791,046/x
  3. Step 3: Cross multiply
    532,764x = 791,046 × 791,046
  4. Step 4: Simplify right side
    532,764x = 625,753,774,116
  5. Step 5: Solve for x
    x = 625,753,774,116/532,764
  6. Step 6: Final answer
    x = 1,174,542.15

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.