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Finding the Third Proportional to 611,472 and 880,748

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Solution

The third proportional to 611,472 and 880,748 is: 1,268,605.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,472 : 880,748 = 880,748 : x
  2. Step 2: Convert to fraction form
    611,472/880,748 = 880,748/x
  3. Step 3: Cross multiply
    611,472x = 880,748 × 880,748
  4. Step 4: Simplify right side
    611,472x = 775,717,039,504
  5. Step 5: Solve for x
    x = 775,717,039,504/611,472
  6. Step 6: Final answer
    x = 1,268,605.99

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.