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Finding the Third Proportional to 253,672 and 535,620

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Solution

The third proportional to 253,672 and 535,620 is: 1,130,943.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,672 : 535,620 = 535,620 : x
  2. Step 2: Convert to fraction form
    253,672/535,620 = 535,620/x
  3. Step 3: Cross multiply
    253,672x = 535,620 × 535,620
  4. Step 4: Simplify right side
    253,672x = 286,888,784,400
  5. Step 5: Solve for x
    x = 286,888,784,400/253,672
  6. Step 6: Final answer
    x = 1,130,943.83

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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.