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Finding the Third Proportional to 357,439.50 and 769,797

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Solution

The third proportional to 357,439.50 and 769,797 is: 1,657,867.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,439.50 : 769,797 = 769,797 : x
  2. Step 2: Convert to fraction form
    357,439.50/769,797 = 769,797/x
  3. Step 3: Cross multiply
    357,439.50x = 769,797 × 769,797
  4. Step 4: Simplify right side
    357,439.50x = 592,587,421,209
  5. Step 5: Solve for x
    x = 592,587,421,209/357,439.50
  6. Step 6: Final answer
    x = 1,657,867.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.