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Finding the Third Proportional to 362,095 and 547,802

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Solution

The third proportional to 362,095 and 547,802 is: 828,752.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,095 : 547,802 = 547,802 : x
  2. Step 2: Convert to fraction form
    362,095/547,802 = 547,802/x
  3. Step 3: Cross multiply
    362,095x = 547,802 × 547,802
  4. Step 4: Simplify right side
    362,095x = 300,087,031,204
  5. Step 5: Solve for x
    x = 300,087,031,204/362,095
  6. Step 6: Final answer
    x = 828,752.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.