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Finding the Third Proportional to 292,756 and 652,826

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Solution

The third proportional to 292,756 and 652,826 is: 1,455,757.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,756 : 652,826 = 652,826 : x
  2. Step 2: Convert to fraction form
    292,756/652,826 = 652,826/x
  3. Step 3: Cross multiply
    292,756x = 652,826 × 652,826
  4. Step 4: Simplify right side
    292,756x = 426,181,786,276
  5. Step 5: Solve for x
    x = 426,181,786,276/292,756
  6. Step 6: Final answer
    x = 1,455,757.65

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.