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Finding the Third Proportional to 380,302.50 and 584,604

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Solution

The third proportional to 380,302.50 and 584,604 is: 898,657.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,302.50 : 584,604 = 584,604 : x
  2. Step 2: Convert to fraction form
    380,302.50/584,604 = 584,604/x
  3. Step 3: Cross multiply
    380,302.50x = 584,604 × 584,604
  4. Step 4: Simplify right side
    380,302.50x = 341,761,836,816
  5. Step 5: Solve for x
    x = 341,761,836,816/380,302.50
  6. Step 6: Final answer
    x = 898,657.88

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.