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Finding the Third Proportional to 472,952 and 714,338

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Solution

The third proportional to 472,952 and 714,338 is: 1,078,922.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,952 : 714,338 = 714,338 : x
  2. Step 2: Convert to fraction form
    472,952/714,338 = 714,338/x
  3. Step 3: Cross multiply
    472,952x = 714,338 × 714,338
  4. Step 4: Simplify right side
    472,952x = 510,278,778,244
  5. Step 5: Solve for x
    x = 510,278,778,244/472,952
  6. Step 6: Final answer
    x = 1,078,922.97

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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.