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Finding the Third Proportional to 714,258 and 970,047

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Solution

The third proportional to 714,258 and 970,047 is: 1,317,438.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,258 : 970,047 = 970,047 : x
  2. Step 2: Convert to fraction form
    714,258/970,047 = 970,047/x
  3. Step 3: Cross multiply
    714,258x = 970,047 × 970,047
  4. Step 4: Simplify right side
    714,258x = 940,991,182,209
  5. Step 5: Solve for x
    x = 940,991,182,209/714,258
  6. Step 6: Final answer
    x = 1,317,438.77

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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.