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Finding the Third Proportional to 627,700 and 805,950

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Solution

The third proportional to 627,700 and 805,950 is: 1,034,818.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,700 : 805,950 = 805,950 : x
  2. Step 2: Convert to fraction form
    627,700/805,950 = 805,950/x
  3. Step 3: Cross multiply
    627,700x = 805,950 × 805,950
  4. Step 4: Simplify right side
    627,700x = 649,555,402,500
  5. Step 5: Solve for x
    x = 649,555,402,500/627,700
  6. Step 6: Final answer
    x = 1,034,818.23

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.