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Finding the Third Proportional to 456,440 and 715,994

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Solution

The third proportional to 456,440 and 715,994 is: 1,123,143.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,440 : 715,994 = 715,994 : x
  2. Step 2: Convert to fraction form
    456,440/715,994 = 715,994/x
  3. Step 3: Cross multiply
    456,440x = 715,994 × 715,994
  4. Step 4: Simplify right side
    456,440x = 512,647,408,036
  5. Step 5: Solve for x
    x = 512,647,408,036/456,440
  6. Step 6: Final answer
    x = 1,123,143.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.