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Finding the Third Proportional to 359,690 and 787,904

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Solution

The third proportional to 359,690 and 787,904 is: 1,725,910.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,690 : 787,904 = 787,904 : x
  2. Step 2: Convert to fraction form
    359,690/787,904 = 787,904/x
  3. Step 3: Cross multiply
    359,690x = 787,904 × 787,904
  4. Step 4: Simplify right side
    359,690x = 620,792,713,216
  5. Step 5: Solve for x
    x = 620,792,713,216/359,690
  6. Step 6: Final answer
    x = 1,725,910.40

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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.