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Finding the Third Proportional to 253,482.75 and 392,358.75

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Solution

The third proportional to 253,482.75 and 392,358.75 is: 607,320.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,482.75 : 392,358.75 = 392,358.75 : x
  2. Step 2: Convert to fraction form
    253,482.75/392,358.75 = 392,358.75/x
  3. Step 3: Cross multiply
    253,482.75x = 392,358.75 × 392,358.75
  4. Step 4: Simplify right side
    253,482.75x = 153,945,388,701.56
  5. Step 5: Solve for x
    x = 153,945,388,701.56/253,482.75
  6. Step 6: Final answer
    x = 607,320.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.