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Finding the Third Proportional to 393,868.50 and 595,461

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Solution

The third proportional to 393,868.50 and 595,461 is: 900,233.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,868.50 : 595,461 = 595,461 : x
  2. Step 2: Convert to fraction form
    393,868.50/595,461 = 595,461/x
  3. Step 3: Cross multiply
    393,868.50x = 595,461 × 595,461
  4. Step 4: Simplify right side
    393,868.50x = 354,573,802,521
  5. Step 5: Solve for x
    x = 354,573,802,521/393,868.50
  6. Step 6: Final answer
    x = 900,233.97

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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.