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Finding the Third Proportional to 278,964 and 604,280.25

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Solution

The third proportional to 278,964 and 604,280.25 is: 1,308,966.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,964 : 604,280.25 = 604,280.25 : x
  2. Step 2: Convert to fraction form
    278,964/604,280.25 = 604,280.25/x
  3. Step 3: Cross multiply
    278,964x = 604,280.25 × 604,280.25
  4. Step 4: Simplify right side
    278,964x = 365,154,620,540.06
  5. Step 5: Solve for x
    x = 365,154,620,540.06/278,964
  6. Step 6: Final answer
    x = 1,308,966.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.