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Finding the Third Proportional to 359,284.50 and 499,554

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Solution

The third proportional to 359,284.50 and 499,554 is: 694,586.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,284.50 : 499,554 = 499,554 : x
  2. Step 2: Convert to fraction form
    359,284.50/499,554 = 499,554/x
  3. Step 3: Cross multiply
    359,284.50x = 499,554 × 499,554
  4. Step 4: Simplify right side
    359,284.50x = 249,554,198,916
  5. Step 5: Solve for x
    x = 249,554,198,916/359,284.50
  6. Step 6: Final answer
    x = 694,586.60

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.