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Finding the Third Proportional to 467,935.50 and 698,778

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Solution

The third proportional to 467,935.50 and 698,778 is: 1,043,500.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,935.50 : 698,778 = 698,778 : x
  2. Step 2: Convert to fraction form
    467,935.50/698,778 = 698,778/x
  3. Step 3: Cross multiply
    467,935.50x = 698,778 × 698,778
  4. Step 4: Simplify right side
    467,935.50x = 488,290,693,284
  5. Step 5: Solve for x
    x = 488,290,693,284/467,935.50
  6. Step 6: Final answer
    x = 1,043,500.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.