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Finding the Third Proportional to 472,941 and 714,321

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Solution

The third proportional to 472,941 and 714,321 is: 1,078,896.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,941 : 714,321 = 714,321 : x
  2. Step 2: Convert to fraction form
    472,941/714,321 = 714,321/x
  3. Step 3: Cross multiply
    472,941x = 714,321 × 714,321
  4. Step 4: Simplify right side
    472,941x = 510,254,491,041
  5. Step 5: Solve for x
    x = 510,254,491,041/472,941
  6. Step 6: Final answer
    x = 1,078,896.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.