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Finding the Third Proportional to 463,412 and 716,399

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Solution

The third proportional to 463,412 and 716,399 is: 1,107,497.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,412 : 716,399 = 716,399 : x
  2. Step 2: Convert to fraction form
    463,412/716,399 = 716,399/x
  3. Step 3: Cross multiply
    463,412x = 716,399 × 716,399
  4. Step 4: Simplify right side
    463,412x = 513,227,527,201
  5. Step 5: Solve for x
    x = 513,227,527,201/463,412
  6. Step 6: Final answer
    x = 1,107,497.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.