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Finding the Third Proportional to 231,263,428 and 500,632,604

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Solution

The third proportional to 231,263,428 and 500,632,604 is: 1,083,755,466.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,263,428 : 500,632,604 = 500,632,604 : x
  2. Step 2: Convert to fraction form
    231,263,428/500,632,604 = 500,632,604/x
  3. Step 3: Cross multiply
    231,263,428x = 500,632,604 × 500,632,604
  4. Step 4: Simplify right side
    231,263,428x = 250,633,004,187,820,800
  5. Step 5: Solve for x
    x = 250,633,004,187,820,800/231,263,428
  6. Step 6: Final answer
    x = 1,083,755,466.03

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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.