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Finding the Third Proportional to 517,302 and 776,565

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Solution

The third proportional to 517,302 and 776,565 is: 1,165,766.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,302 : 776,565 = 776,565 : x
  2. Step 2: Convert to fraction form
    517,302/776,565 = 776,565/x
  3. Step 3: Cross multiply
    517,302x = 776,565 × 776,565
  4. Step 4: Simplify right side
    517,302x = 603,053,199,225
  5. Step 5: Solve for x
    x = 603,053,199,225/517,302
  6. Step 6: Final answer
    x = 1,165,766.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.