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Finding the Third Proportional to 767,263.40 and 1,066,818.41

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Solution

The third proportional to 767,263.40 and 1,066,818.41 is: 1,483,325.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,263.40 : 1,066,818.41 = 1,066,818.41 : x
  2. Step 2: Convert to fraction form
    767,263.40/1,066,818.41 = 1,066,818.41/x
  3. Step 3: Cross multiply
    767,263.40x = 1,066,818.41 × 1,066,818.41
  4. Step 4: Simplify right side
    767,263.40x = 1,138,101,520,248.20
  5. Step 5: Solve for x
    x = 1,138,101,520,248.20/767,263.40
  6. Step 6: Final answer
    x = 1,483,325.69

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.