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Finding the Third Proportional to 244,525 and 535,706

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Solution

The third proportional to 244,525 and 535,706 is: 1,173,626.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,525 : 535,706 = 535,706 : x
  2. Step 2: Convert to fraction form
    244,525/535,706 = 535,706/x
  3. Step 3: Cross multiply
    244,525x = 535,706 × 535,706
  4. Step 4: Simplify right side
    244,525x = 286,980,918,436
  5. Step 5: Solve for x
    x = 286,980,918,436/244,525
  6. Step 6: Final answer
    x = 1,173,626.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.