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Finding the Third Proportional to 297,079.50 and 618,637.50

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Solution

The third proportional to 297,079.50 and 618,637.50 is: 1,288,248.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,079.50 : 618,637.50 = 618,637.50 : x
  2. Step 2: Convert to fraction form
    297,079.50/618,637.50 = 618,637.50/x
  3. Step 3: Cross multiply
    297,079.50x = 618,637.50 × 618,637.50
  4. Step 4: Simplify right side
    297,079.50x = 382,712,356,406.25
  5. Step 5: Solve for x
    x = 382,712,356,406.25/297,079.50
  6. Step 6: Final answer
    x = 1,288,248.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.