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Finding the Third Proportional to 524,176 and 717,292

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Solution

The third proportional to 524,176 and 717,292 is: 981,555.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,176 : 717,292 = 717,292 : x
  2. Step 2: Convert to fraction form
    524,176/717,292 = 717,292/x
  3. Step 3: Cross multiply
    524,176x = 717,292 × 717,292
  4. Step 4: Simplify right side
    524,176x = 514,507,813,264
  5. Step 5: Solve for x
    x = 514,507,813,264/524,176
  6. Step 6: Final answer
    x = 981,555.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.