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Finding the Third Proportional to 713,254 and 971,463

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Solution

The third proportional to 713,254 and 971,463 is: 1,323,147.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,254 : 971,463 = 971,463 : x
  2. Step 2: Convert to fraction form
    713,254/971,463 = 971,463/x
  3. Step 3: Cross multiply
    713,254x = 971,463 × 971,463
  4. Step 4: Simplify right side
    713,254x = 943,740,360,369
  5. Step 5: Solve for x
    x = 943,740,360,369/713,254
  6. Step 6: Final answer
    x = 1,323,147.66

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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.