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Finding the Third Proportional to 576,348 and 926,036

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Solution

The third proportional to 576,348 and 926,036 is: 1,487,890.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,348 : 926,036 = 926,036 : x
  2. Step 2: Convert to fraction form
    576,348/926,036 = 926,036/x
  3. Step 3: Cross multiply
    576,348x = 926,036 × 926,036
  4. Step 4: Simplify right side
    576,348x = 857,542,673,296
  5. Step 5: Solve for x
    x = 857,542,673,296/576,348
  6. Step 6: Final answer
    x = 1,487,890.43

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.