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Finding the Third Proportional to 575,424 and 871,133

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Solution

The third proportional to 575,424 and 871,133 is: 1,318,806.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,424 : 871,133 = 871,133 : x
  2. Step 2: Convert to fraction form
    575,424/871,133 = 871,133/x
  3. Step 3: Cross multiply
    575,424x = 871,133 × 871,133
  4. Step 4: Simplify right side
    575,424x = 758,872,703,689
  5. Step 5: Solve for x
    x = 758,872,703,689/575,424
  6. Step 6: Final answer
    x = 1,318,806.14

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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.