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Finding the Third Proportional to 714,260 and 970,050

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Solution

The third proportional to 714,260 and 970,050 is: 1,317,443.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,260 : 970,050 = 970,050 : x
  2. Step 2: Convert to fraction form
    714,260/970,050 = 970,050/x
  3. Step 3: Cross multiply
    714,260x = 970,050 × 970,050
  4. Step 4: Simplify right side
    714,260x = 940,997,002,500
  5. Step 5: Solve for x
    x = 940,997,002,500/714,260
  6. Step 6: Final answer
    x = 1,317,443.23

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.