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Finding the Third Proportional to 472,954 and 714,340

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Solution

The third proportional to 472,954 and 714,340 is: 1,078,924.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,954 : 714,340 = 714,340 : x
  2. Step 2: Convert to fraction form
    472,954/714,340 = 714,340/x
  3. Step 3: Cross multiply
    472,954x = 714,340 × 714,340
  4. Step 4: Simplify right side
    472,954x = 510,281,635,600
  5. Step 5: Solve for x
    x = 510,281,635,600/472,954
  6. Step 6: Final answer
    x = 1,078,924.45

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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.