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Finding the Third Proportional to 575,445 and 871,164

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Solution

The third proportional to 575,445 and 871,164 is: 1,318,851.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,445 : 871,164 = 871,164 : x
  2. Step 2: Convert to fraction form
    575,445/871,164 = 871,164/x
  3. Step 3: Cross multiply
    575,445x = 871,164 × 871,164
  4. Step 4: Simplify right side
    575,445x = 758,926,714,896
  5. Step 5: Solve for x
    x = 758,926,714,896/575,445
  6. Step 6: Final answer
    x = 1,318,851.87

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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.