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Finding the Third Proportional to 523,649 and 819,169.50

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Solution

The third proportional to 523,649 and 819,169.50 is: 1,281,466.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,649 : 819,169.50 = 819,169.50 : x
  2. Step 2: Convert to fraction form
    523,649/819,169.50 = 819,169.50/x
  3. Step 3: Cross multiply
    523,649x = 819,169.50 × 819,169.50
  4. Step 4: Simplify right side
    523,649x = 671,038,669,730.25
  5. Step 5: Solve for x
    x = 671,038,669,730.25/523,649
  6. Step 6: Final answer
    x = 1,281,466.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.