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Finding the Third Proportional to 359,205,546 and 775,891,284

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Solution

The third proportional to 359,205,546 and 775,891,284 is: 1,675,940,951.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,205,546 : 775,891,284 = 775,891,284 : x
  2. Step 2: Convert to fraction form
    359,205,546/775,891,284 = 775,891,284/x
  3. Step 3: Cross multiply
    359,205,546x = 775,891,284 × 775,891,284
  4. Step 4: Simplify right side
    359,205,546x = 602,007,284,587,168,640
  5. Step 5: Solve for x
    x = 602,007,284,587,168,640/359,205,546
  6. Step 6: Final answer
    x = 1,675,940,951.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.