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Finding the Third Proportional to 359,273.50 and 784,669

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Solution

The third proportional to 359,273.50 and 784,669 is: 1,713,751.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,273.50 : 784,669 = 784,669 : x
  2. Step 2: Convert to fraction form
    359,273.50/784,669 = 784,669/x
  3. Step 3: Cross multiply
    359,273.50x = 784,669 × 784,669
  4. Step 4: Simplify right side
    359,273.50x = 615,705,439,561
  5. Step 5: Solve for x
    x = 615,705,439,561/359,273.50
  6. Step 6: Final answer
    x = 1,713,751.33

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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.