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Finding the Third Proportional to 359,962 and 787,724

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Solution

The third proportional to 359,962 and 787,724 is: 1,723,818.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,962 : 787,724 = 787,724 : x
  2. Step 2: Convert to fraction form
    359,962/787,724 = 787,724/x
  3. Step 3: Cross multiply
    359,962x = 787,724 × 787,724
  4. Step 4: Simplify right side
    359,962x = 620,509,100,176
  5. Step 5: Solve for x
    x = 620,509,100,176/359,962
  6. Step 6: Final answer
    x = 1,723,818.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.