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Finding the Third Proportional to 361,024,517 and 550,001,671.50

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Solution

The third proportional to 361,024,517 and 550,001,671.50 is: 837,898,326.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,024,517 : 550,001,671.50 = 550,001,671.50 : x
  2. Step 2: Convert to fraction form
    361,024,517/550,001,671.50 = 550,001,671.50/x
  3. Step 3: Cross multiply
    361,024,517x = 550,001,671.50 × 550,001,671.50
  4. Step 4: Simplify right side
    361,024,517x = 302,501,838,652,793,920
  5. Step 5: Solve for x
    x = 302,501,838,652,793,920/361,024,517
  6. Step 6: Final answer
    x = 837,898,326.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.