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Finding the Third Proportional to 398,569,320 and 561,028,852.50

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Solution

The third proportional to 398,569,320 and 561,028,852.50 is: 789,707,981.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,569,320 : 561,028,852.50 = 561,028,852.50 : x
  2. Step 2: Convert to fraction form
    398,569,320/561,028,852.50 = 561,028,852.50/x
  3. Step 3: Cross multiply
    398,569,320x = 561,028,852.50 × 561,028,852.50
  4. Step 4: Simplify right side
    398,569,320x = 314,753,373,337,466,752
  5. Step 5: Solve for x
    x = 314,753,373,337,466,752/398,569,320
  6. Step 6: Final answer
    x = 789,707,981.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.