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Finding the Third Proportional to 472,896 and 714,248

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Solution

The third proportional to 472,896 and 714,248 is: 1,078,778.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,896 : 714,248 = 714,248 : x
  2. Step 2: Convert to fraction form
    472,896/714,248 = 714,248/x
  3. Step 3: Cross multiply
    472,896x = 714,248 × 714,248
  4. Step 4: Simplify right side
    472,896x = 510,150,205,504
  5. Step 5: Solve for x
    x = 510,150,205,504/472,896
  6. Step 6: Final answer
    x = 1,078,778.86

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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.