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Finding the Third Proportional to 524,177 and 785,443

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Solution

The third proportional to 524,177 and 785,443 is: 1,176,932.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,177 : 785,443 = 785,443 : x
  2. Step 2: Convert to fraction form
    524,177/785,443 = 785,443/x
  3. Step 3: Cross multiply
    524,177x = 785,443 × 785,443
  4. Step 4: Simplify right side
    524,177x = 616,920,706,249
  5. Step 5: Solve for x
    x = 616,920,706,249/524,177
  6. Step 6: Final answer
    x = 1,176,932.04

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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.