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Finding the Third Proportional to 430,264 and 945,448

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Solution

The third proportional to 430,264 and 945,448 is: 2,077,496.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,264 : 945,448 = 945,448 : x
  2. Step 2: Convert to fraction form
    430,264/945,448 = 945,448/x
  3. Step 3: Cross multiply
    430,264x = 945,448 × 945,448
  4. Step 4: Simplify right side
    430,264x = 893,871,920,704
  5. Step 5: Solve for x
    x = 893,871,920,704/430,264
  6. Step 6: Final answer
    x = 2,077,496.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.