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Finding the Third Proportional to 403,742 and 626,934

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Solution

The third proportional to 403,742 and 626,934 is: 973,508.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,742 : 626,934 = 626,934 : x
  2. Step 2: Convert to fraction form
    403,742/626,934 = 626,934/x
  3. Step 3: Cross multiply
    403,742x = 626,934 × 626,934
  4. Step 4: Simplify right side
    403,742x = 393,046,240,356
  5. Step 5: Solve for x
    x = 393,046,240,356/403,742
  6. Step 6: Final answer
    x = 973,508.43

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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.