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Finding the Third Proportional to 472,968 and 714,366

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Solution

The third proportional to 472,968 and 714,366 is: 1,078,971.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,968 : 714,366 = 714,366 : x
  2. Step 2: Convert to fraction form
    472,968/714,366 = 714,366/x
  3. Step 3: Cross multiply
    472,968x = 714,366 × 714,366
  4. Step 4: Simplify right side
    472,968x = 510,318,781,956
  5. Step 5: Solve for x
    x = 510,318,781,956/472,968
  6. Step 6: Final answer
    x = 1,078,971.06

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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.