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Finding the Third Proportional to 385,276.50 and 604,363.78

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Solution

The third proportional to 385,276.50 and 604,363.78 is: 948,034.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,276.50 : 604,363.78 = 604,363.78 : x
  2. Step 2: Convert to fraction form
    385,276.50/604,363.78 = 604,363.78/x
  3. Step 3: Cross multiply
    385,276.50x = 604,363.78 × 604,363.78
  4. Step 4: Simplify right side
    385,276.50x = 365,255,580,086.80
  5. Step 5: Solve for x
    x = 365,255,580,086.80/385,276.50
  6. Step 6: Final answer
    x = 948,034.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.