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Finding the Third Proportional to 514,566 and 795,177

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Solution

The third proportional to 514,566 and 795,177 is: 1,228,815.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,566 : 795,177 = 795,177 : x
  2. Step 2: Convert to fraction form
    514,566/795,177 = 795,177/x
  3. Step 3: Cross multiply
    514,566x = 795,177 × 795,177
  4. Step 4: Simplify right side
    514,566x = 632,306,461,329
  5. Step 5: Solve for x
    x = 632,306,461,329/514,566
  6. Step 6: Final answer
    x = 1,228,815.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.