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Finding the Third Proportional to 359,915 and 787,628

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Solution

The third proportional to 359,915 and 787,628 is: 1,723,623.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,915 : 787,628 = 787,628 : x
  2. Step 2: Convert to fraction form
    359,915/787,628 = 787,628/x
  3. Step 3: Cross multiply
    359,915x = 787,628 × 787,628
  4. Step 4: Simplify right side
    359,915x = 620,357,866,384
  5. Step 5: Solve for x
    x = 620,357,866,384/359,915
  6. Step 6: Final answer
    x = 1,723,623.26

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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.