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Finding the Third Proportional to 399,120 and 602,824.50

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Solution

The third proportional to 399,120 and 602,824.50 is: 910,496.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,120 : 602,824.50 = 602,824.50 : x
  2. Step 2: Convert to fraction form
    399,120/602,824.50 = 602,824.50/x
  3. Step 3: Cross multiply
    399,120x = 602,824.50 × 602,824.50
  4. Step 4: Simplify right side
    399,120x = 363,397,377,800.25
  5. Step 5: Solve for x
    x = 363,397,377,800.25/399,120
  6. Step 6: Final answer
    x = 910,496.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.