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Finding the Third Proportional to 269,776 and 590,948

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Solution

The third proportional to 269,776 and 590,948 is: 1,294,479.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,776 : 590,948 = 590,948 : x
  2. Step 2: Convert to fraction form
    269,776/590,948 = 590,948/x
  3. Step 3: Cross multiply
    269,776x = 590,948 × 590,948
  4. Step 4: Simplify right side
    269,776x = 349,219,538,704
  5. Step 5: Solve for x
    x = 349,219,538,704/269,776
  6. Step 6: Final answer
    x = 1,294,479.64

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.