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Finding the Third Proportional to 263,961,700 and 359,470,780

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Solution

The third proportional to 263,961,700 and 359,470,780 is: 489,537,844.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,961,700 : 359,470,780 = 359,470,780 : x
  2. Step 2: Convert to fraction form
    263,961,700/359,470,780 = 359,470,780/x
  3. Step 3: Cross multiply
    263,961,700x = 359,470,780 × 359,470,780
  4. Step 4: Simplify right side
    263,961,700x = 129,219,241,673,808,400
  5. Step 5: Solve for x
    x = 129,219,241,673,808,400/263,961,700
  6. Step 6: Final answer
    x = 489,537,844.60

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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.