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Finding the Third Proportional to 263,962,829 and 399,341,651

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Solution

The third proportional to 263,962,829 and 399,341,651 is: 604,152,315.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,962,829 : 399,341,651 = 399,341,651 : x
  2. Step 2: Convert to fraction form
    263,962,829/399,341,651 = 399,341,651/x
  3. Step 3: Cross multiply
    263,962,829x = 399,341,651 × 399,341,651
  4. Step 4: Simplify right side
    263,962,829x = 159,473,754,223,405,792
  5. Step 5: Solve for x
    x = 159,473,754,223,405,792/263,962,829
  6. Step 6: Final answer
    x = 604,152,315.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.