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Finding the Third Proportional to 408,571,776 and 650,432,736

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Solution

The third proportional to 408,571,776 and 650,432,736 is: 1,035,467,374.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,571,776 : 650,432,736 = 650,432,736 : x
  2. Step 2: Convert to fraction form
    408,571,776/650,432,736 = 650,432,736/x
  3. Step 3: Cross multiply
    408,571,776x = 650,432,736 × 650,432,736
  4. Step 4: Simplify right side
    408,571,776x = 423,062,744,060,445,696
  5. Step 5: Solve for x
    x = 423,062,744,060,445,696/408,571,776
  6. Step 6: Final answer
    x = 1,035,467,374.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.