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Finding the Third Proportional to 488,673 and 755,122.50

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Solution

The third proportional to 488,673 and 755,122.50 is: 1,166,853.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,673 : 755,122.50 = 755,122.50 : x
  2. Step 2: Convert to fraction form
    488,673/755,122.50 = 755,122.50/x
  3. Step 3: Cross multiply
    488,673x = 755,122.50 × 755,122.50
  4. Step 4: Simplify right side
    488,673x = 570,209,990,006.25
  5. Step 5: Solve for x
    x = 570,209,990,006.25/488,673
  6. Step 6: Final answer
    x = 1,166,853.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.