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Finding the Third Proportional to 575,438 and 871,154

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Solution

The third proportional to 575,438 and 871,154 is: 1,318,837.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,438 : 871,154 = 871,154 : x
  2. Step 2: Convert to fraction form
    575,438/871,154 = 871,154/x
  3. Step 3: Cross multiply
    575,438x = 871,154 × 871,154
  4. Step 4: Simplify right side
    575,438x = 758,909,291,716
  5. Step 5: Solve for x
    x = 758,909,291,716/575,438
  6. Step 6: Final answer
    x = 1,318,837.64

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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.