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Finding the Third Proportional to 359,276.50 and 784,675

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Solution

The third proportional to 359,276.50 and 784,675 is: 1,713,763.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,276.50 : 784,675 = 784,675 : x
  2. Step 2: Convert to fraction form
    359,276.50/784,675 = 784,675/x
  3. Step 3: Cross multiply
    359,276.50x = 784,675 × 784,675
  4. Step 4: Simplify right side
    359,276.50x = 615,714,855,625
  5. Step 5: Solve for x
    x = 615,714,855,625/359,276.50
  6. Step 6: Final answer
    x = 1,713,763.23

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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.