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Finding the Third Proportional to 403,742 and 626,933

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Solution

The third proportional to 403,742 and 626,933 is: 973,505.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,742 : 626,933 = 626,933 : x
  2. Step 2: Convert to fraction form
    403,742/626,933 = 626,933/x
  3. Step 3: Cross multiply
    403,742x = 626,933 × 626,933
  4. Step 4: Simplify right side
    403,742x = 393,044,986,489
  5. Step 5: Solve for x
    x = 393,044,986,489/403,742
  6. Step 6: Final answer
    x = 973,505.32

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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.