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Finding the Third Proportional to 348,687,742.50 and 758,664,639

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Solution

The third proportional to 348,687,742.50 and 758,664,639 is: 1,650,680,435.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,687,742.50 : 758,664,639 = 758,664,639 : x
  2. Step 2: Convert to fraction form
    348,687,742.50/758,664,639 = 758,664,639/x
  3. Step 3: Cross multiply
    348,687,742.50x = 758,664,639 × 758,664,639
  4. Step 4: Simplify right side
    348,687,742.50x = 575,572,034,469,000,320
  5. Step 5: Solve for x
    x = 575,572,034,469,000,320/348,687,742.50
  6. Step 6: Final answer
    x = 1,650,680,435.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.