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Finding the Third Proportional to 714,388 and 970,214

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Solution

The third proportional to 714,388 and 970,214 is: 1,317,652.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,388 : 970,214 = 970,214 : x
  2. Step 2: Convert to fraction form
    714,388/970,214 = 970,214/x
  3. Step 3: Cross multiply
    714,388x = 970,214 × 970,214
  4. Step 4: Simplify right side
    714,388x = 941,315,205,796
  5. Step 5: Solve for x
    x = 941,315,205,796/714,388
  6. Step 6: Final answer
    x = 1,317,652.60

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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.