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Finding the Third Proportional to 253,653 and 535,584

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Solution

The third proportional to 253,653 and 535,584 is: 1,130,876.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,653 : 535,584 = 535,584 : x
  2. Step 2: Convert to fraction form
    253,653/535,584 = 535,584/x
  3. Step 3: Cross multiply
    253,653x = 535,584 × 535,584
  4. Step 4: Simplify right side
    253,653x = 286,850,221,056
  5. Step 5: Solve for x
    x = 286,850,221,056/253,653
  6. Step 6: Final answer
    x = 1,130,876.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.