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Finding the Third Proportional to 359,204,968 and 525,370,520

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Solution

The third proportional to 359,204,968 and 525,370,520 is: 768,403,022.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,204,968 : 525,370,520 = 525,370,520 : x
  2. Step 2: Convert to fraction form
    359,204,968/525,370,520 = 525,370,520/x
  3. Step 3: Cross multiply
    359,204,968x = 525,370,520 × 525,370,520
  4. Step 4: Simplify right side
    359,204,968x = 276,014,183,285,070,400
  5. Step 5: Solve for x
    x = 276,014,183,285,070,400/359,204,968
  6. Step 6: Final answer
    x = 768,403,022.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.