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Finding the Third Proportional to 714,384 and 970,209

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Solution

The third proportional to 714,384 and 970,209 is: 1,317,646.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,384 : 970,209 = 970,209 : x
  2. Step 2: Convert to fraction form
    714,384/970,209 = 970,209/x
  3. Step 3: Cross multiply
    714,384x = 970,209 × 970,209
  4. Step 4: Simplify right side
    714,384x = 941,305,503,681
  5. Step 5: Solve for x
    x = 941,305,503,681/714,384
  6. Step 6: Final answer
    x = 1,317,646.40

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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.