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Finding the Third Proportional to 463,142 and 692,767

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Solution

The third proportional to 463,142 and 692,767 is: 1,036,239.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,142 : 692,767 = 692,767 : x
  2. Step 2: Convert to fraction form
    463,142/692,767 = 692,767/x
  3. Step 3: Cross multiply
    463,142x = 692,767 × 692,767
  4. Step 4: Simplify right side
    463,142x = 479,926,116,289
  5. Step 5: Solve for x
    x = 479,926,116,289/463,142
  6. Step 6: Final answer
    x = 1,036,239.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.