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Finding the Third Proportional to 263,961,643 and 359,470,703

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Solution

The third proportional to 263,961,643 and 359,470,703 is: 489,537,740.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,961,643 : 359,470,703 = 359,470,703 : x
  2. Step 2: Convert to fraction form
    263,961,643/359,470,703 = 359,470,703/x
  3. Step 3: Cross multiply
    263,961,643x = 359,470,703 × 359,470,703
  4. Step 4: Simplify right side
    263,961,643x = 129,219,186,315,314,208
  5. Step 5: Solve for x
    x = 129,219,186,315,314,208/263,961,643
  6. Step 6: Final answer
    x = 489,537,740.58

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.