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Finding the Third Proportional to 297,169.50 and 648,501

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Solution

The third proportional to 297,169.50 and 648,501 is: 1,415,197.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,169.50 : 648,501 = 648,501 : x
  2. Step 2: Convert to fraction form
    297,169.50/648,501 = 648,501/x
  3. Step 3: Cross multiply
    297,169.50x = 648,501 × 648,501
  4. Step 4: Simplify right side
    297,169.50x = 420,553,547,001
  5. Step 5: Solve for x
    x = 420,553,547,001/297,169.50
  6. Step 6: Final answer
    x = 1,415,197.55

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Why These Related Problems?

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