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Finding the Third Proportional to 262,584 and 633,072

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Solution

The third proportional to 262,584 and 633,072 is: 1,526,293.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,584 : 633,072 = 633,072 : x
  2. Step 2: Convert to fraction form
    262,584/633,072 = 633,072/x
  3. Step 3: Cross multiply
    262,584x = 633,072 × 633,072
  4. Step 4: Simplify right side
    262,584x = 400,780,157,184
  5. Step 5: Solve for x
    x = 400,780,157,184/262,584
  6. Step 6: Final answer
    x = 1,526,293.14

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.