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Finding the Third Proportional to 402,689 and 604,002

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Solution

The third proportional to 402,689 and 604,002 is: 905,955.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,689 : 604,002 = 604,002 : x
  2. Step 2: Convert to fraction form
    402,689/604,002 = 604,002/x
  3. Step 3: Cross multiply
    402,689x = 604,002 × 604,002
  4. Step 4: Simplify right side
    402,689x = 364,818,416,004
  5. Step 5: Solve for x
    x = 364,818,416,004/402,689
  6. Step 6: Final answer
    x = 905,955.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.