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Finding the Third Proportional to 359,505,767 and 774,547,300

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Solution

The third proportional to 359,505,767 and 774,547,300 is: 1,668,745,191.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,505,767 : 774,547,300 = 774,547,300 : x
  2. Step 2: Convert to fraction form
    359,505,767/774,547,300 = 774,547,300/x
  3. Step 3: Cross multiply
    359,505,767x = 774,547,300 × 774,547,300
  4. Step 4: Simplify right side
    359,505,767x = 599,923,519,937,289,984
  5. Step 5: Solve for x
    x = 599,923,519,937,289,984/359,505,767
  6. Step 6: Final answer
    x = 1,668,745,191.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.