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Finding the Third Proportional to 423,768.38 and 914,756.63

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Solution

The third proportional to 423,768.38 and 914,756.63 is: 1,974,615.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,768.38 : 914,756.63 = 914,756.63 : x
  2. Step 2: Convert to fraction form
    423,768.38/914,756.63 = 914,756.63/x
  3. Step 3: Cross multiply
    423,768.38x = 914,756.63 × 914,756.63
  4. Step 4: Simplify right side
    423,768.38x = 836,779,682,981.39
  5. Step 5: Solve for x
    x = 836,779,682,981.39/423,768.38
  6. Step 6: Final answer
    x = 1,974,615.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.