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Finding the Third Proportional to 575,602 and 871,431

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Solution

The third proportional to 575,602 and 871,431 is: 1,319,300.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,602 : 871,431 = 871,431 : x
  2. Step 2: Convert to fraction form
    575,602/871,431 = 871,431/x
  3. Step 3: Cross multiply
    575,602x = 871,431 × 871,431
  4. Step 4: Simplify right side
    575,602x = 759,391,987,761
  5. Step 5: Solve for x
    x = 759,391,987,761/575,602
  6. Step 6: Final answer
    x = 1,319,300.47

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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.