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Finding the Third Proportional to 253,636 and 535,564

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Solution

The third proportional to 253,636 and 535,564 is: 1,130,867.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,636 : 535,564 = 535,564 : x
  2. Step 2: Convert to fraction form
    253,636/535,564 = 535,564/x
  3. Step 3: Cross multiply
    253,636x = 535,564 × 535,564
  4. Step 4: Simplify right side
    253,636x = 286,828,798,096
  5. Step 5: Solve for x
    x = 286,828,798,096/253,636
  6. Step 6: Final answer
    x = 1,130,867.85

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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.