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Finding the Third Proportional to 259,386 and 396,952.50

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Solution

The third proportional to 259,386 and 396,952.50 is: 607,478.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,386 : 396,952.50 = 396,952.50 : x
  2. Step 2: Convert to fraction form
    259,386/396,952.50 = 396,952.50/x
  3. Step 3: Cross multiply
    259,386x = 396,952.50 × 396,952.50
  4. Step 4: Simplify right side
    259,386x = 157,571,287,256.25
  5. Step 5: Solve for x
    x = 157,571,287,256.25/259,386
  6. Step 6: Final answer
    x = 607,478.00

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.