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Finding the Third Proportional to 472,903 and 663,577

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Solution

The third proportional to 472,903 and 663,577 is: 931,130.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,903 : 663,577 = 663,577 : x
  2. Step 2: Convert to fraction form
    472,903/663,577 = 663,577/x
  3. Step 3: Cross multiply
    472,903x = 663,577 × 663,577
  4. Step 4: Simplify right side
    472,903x = 440,334,434,929
  5. Step 5: Solve for x
    x = 440,334,434,929/472,903
  6. Step 6: Final answer
    x = 931,130.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.