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Finding the Third Proportional to 713,252 and 971,460

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Solution

The third proportional to 713,252 and 971,460 is: 1,323,143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,252 : 971,460 = 971,460 : x
  2. Step 2: Convert to fraction form
    713,252/971,460 = 971,460/x
  3. Step 3: Cross multiply
    713,252x = 971,460 × 971,460
  4. Step 4: Simplify right side
    713,252x = 943,734,531,600
  5. Step 5: Solve for x
    x = 943,734,531,600/713,252
  6. Step 6: Final answer
    x = 1,323,143.20

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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.