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Finding the Third Proportional to 713,187 and 971,364

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Solution

The third proportional to 713,187 and 971,364 is: 1,323,002.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,187 : 971,364 = 971,364 : x
  2. Step 2: Convert to fraction form
    713,187/971,364 = 971,364/x
  3. Step 3: Cross multiply
    713,187x = 971,364 × 971,364
  4. Step 4: Simplify right side
    713,187x = 943,548,020,496
  5. Step 5: Solve for x
    x = 943,548,020,496/713,187
  6. Step 6: Final answer
    x = 1,323,002.27

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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.