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Finding the Third Proportional to 575,603 and 871,433

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Solution

The third proportional to 575,603 and 871,433 is: 1,319,304.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,603 : 871,433 = 871,433 : x
  2. Step 2: Convert to fraction form
    575,603/871,433 = 871,433/x
  3. Step 3: Cross multiply
    575,603x = 871,433 × 871,433
  4. Step 4: Simplify right side
    575,603x = 759,395,473,489
  5. Step 5: Solve for x
    x = 759,395,473,489/575,603
  6. Step 6: Final answer
    x = 1,319,304.23

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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.