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Finding the Third Proportional to 485,616 and 761,784

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Solution

The third proportional to 485,616 and 761,784 is: 1,195,007.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,616 : 761,784 = 761,784 : x
  2. Step 2: Convert to fraction form
    485,616/761,784 = 761,784/x
  3. Step 3: Cross multiply
    485,616x = 761,784 × 761,784
  4. Step 4: Simplify right side
    485,616x = 580,314,862,656
  5. Step 5: Solve for x
    x = 580,314,862,656/485,616
  6. Step 6: Final answer
    x = 1,195,007.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.