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Finding the Third Proportional to 297,748 and 647,979.50

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Solution

The third proportional to 297,748 and 647,979.50 is: 1,410,177.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,748 : 647,979.50 = 647,979.50 : x
  2. Step 2: Convert to fraction form
    297,748/647,979.50 = 647,979.50/x
  3. Step 3: Cross multiply
    297,748x = 647,979.50 × 647,979.50
  4. Step 4: Simplify right side
    297,748x = 419,877,432,420.25
  5. Step 5: Solve for x
    x = 419,877,432,420.25/297,748
  6. Step 6: Final answer
    x = 1,410,177.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.