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Finding the Third Proportional to 359,286.50 and 784,695

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Solution

The third proportional to 359,286.50 and 784,695 is: 1,713,802.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,286.50 : 784,695 = 784,695 : x
  2. Step 2: Convert to fraction form
    359,286.50/784,695 = 784,695/x
  3. Step 3: Cross multiply
    359,286.50x = 784,695 × 784,695
  4. Step 4: Simplify right side
    359,286.50x = 615,746,243,025
  5. Step 5: Solve for x
    x = 615,746,243,025/359,286.50
  6. Step 6: Final answer
    x = 1,713,802.89

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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.