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Finding the Third Proportional to 286,826 and 592,084

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Solution

The third proportional to 286,826 and 592,084 is: 1,222,216.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,826 : 592,084 = 592,084 : x
  2. Step 2: Convert to fraction form
    286,826/592,084 = 592,084/x
  3. Step 3: Cross multiply
    286,826x = 592,084 × 592,084
  4. Step 4: Simplify right side
    286,826x = 350,563,463,056
  5. Step 5: Solve for x
    x = 350,563,463,056/286,826
  6. Step 6: Final answer
    x = 1,222,216.48

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.