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Finding the Third Proportional to 350,340.19 and 523,680.19

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Solution

The third proportional to 350,340.19 and 523,680.19 is: 782,784.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,340.19 : 523,680.19 = 523,680.19 : x
  2. Step 2: Convert to fraction form
    350,340.19/523,680.19 = 523,680.19/x
  3. Step 3: Cross multiply
    350,340.19x = 523,680.19 × 523,680.19
  4. Step 4: Simplify right side
    350,340.19x = 274,240,938,780.04
  5. Step 5: Solve for x
    x = 274,240,938,780.04/350,340.19
  6. Step 6: Final answer
    x = 782,784.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.