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Finding the Third Proportional to 499,755 and 794,821.50

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Solution

The third proportional to 499,755 and 794,821.50 is: 1,264,101.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,755 : 794,821.50 = 794,821.50 : x
  2. Step 2: Convert to fraction form
    499,755/794,821.50 = 794,821.50/x
  3. Step 3: Cross multiply
    499,755x = 794,821.50 × 794,821.50
  4. Step 4: Simplify right side
    499,755x = 631,741,216,862.25
  5. Step 5: Solve for x
    x = 631,741,216,862.25/499,755
  6. Step 6: Final answer
    x = 1,264,101.84

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.