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Finding the Third Proportional to 278,307 and 595,966.50

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Solution

The third proportional to 278,307 and 595,966.50 is: 1,276,202.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,307 : 595,966.50 = 595,966.50 : x
  2. Step 2: Convert to fraction form
    278,307/595,966.50 = 595,966.50/x
  3. Step 3: Cross multiply
    278,307x = 595,966.50 × 595,966.50
  4. Step 4: Simplify right side
    278,307x = 355,176,069,122.25
  5. Step 5: Solve for x
    x = 355,176,069,122.25/278,307
  6. Step 6: Final answer
    x = 1,276,202.43

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.