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Finding the Third Proportional to 362,345 and 852,576

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Solution

The third proportional to 362,345 and 852,576 is: 2,006,060.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,345 : 852,576 = 852,576 : x
  2. Step 2: Convert to fraction form
    362,345/852,576 = 852,576/x
  3. Step 3: Cross multiply
    362,345x = 852,576 × 852,576
  4. Step 4: Simplify right side
    362,345x = 726,885,835,776
  5. Step 5: Solve for x
    x = 726,885,835,776/362,345
  6. Step 6: Final answer
    x = 2,006,060.07

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.