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Finding the Third Proportional to 338,769 and 524,866.50

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Solution

The third proportional to 338,769 and 524,866.50 is: 813,193.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,769 : 524,866.50 = 524,866.50 : x
  2. Step 2: Convert to fraction form
    338,769/524,866.50 = 524,866.50/x
  3. Step 3: Cross multiply
    338,769x = 524,866.50 × 524,866.50
  4. Step 4: Simplify right side
    338,769x = 275,484,842,822.25
  5. Step 5: Solve for x
    x = 275,484,842,822.25/338,769
  6. Step 6: Final answer
    x = 813,193.78

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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.