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Finding the Third Proportional to 524,088 and 791,113

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Solution

The third proportional to 524,088 and 791,113 is: 1,194,188.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,088 : 791,113 = 791,113 : x
  2. Step 2: Convert to fraction form
    524,088/791,113 = 791,113/x
  3. Step 3: Cross multiply
    524,088x = 791,113 × 791,113
  4. Step 4: Simplify right side
    524,088x = 625,859,778,769
  5. Step 5: Solve for x
    x = 625,859,778,769/524,088
  6. Step 6: Final answer
    x = 1,194,188.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.