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Finding the Third Proportional to 402,895.50 and 604,343.25

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Solution

The third proportional to 402,895.50 and 604,343.25 is: 906,514.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,895.50 : 604,343.25 = 604,343.25 : x
  2. Step 2: Convert to fraction form
    402,895.50/604,343.25 = 604,343.25/x
  3. Step 3: Cross multiply
    402,895.50x = 604,343.25 × 604,343.25
  4. Step 4: Simplify right side
    402,895.50x = 365,230,763,820.56
  5. Step 5: Solve for x
    x = 365,230,763,820.56/402,895.50
  6. Step 6: Final answer
    x = 906,514.88

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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.