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Finding the Third Proportional to 713,160 and 971,317

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Solution

The third proportional to 713,160 and 971,317 is: 1,322,924.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,160 : 971,317 = 971,317 : x
  2. Step 2: Convert to fraction form
    713,160/971,317 = 971,317/x
  3. Step 3: Cross multiply
    713,160x = 971,317 × 971,317
  4. Step 4: Simplify right side
    713,160x = 943,456,714,489
  5. Step 5: Solve for x
    x = 943,456,714,489/713,160
  6. Step 6: Final answer
    x = 1,322,924.33

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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.