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Finding the Third Proportional to 291,875 and 633,570

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Solution

The third proportional to 291,875 and 633,570 is: 1,375,283.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,875 : 633,570 = 633,570 : x
  2. Step 2: Convert to fraction form
    291,875/633,570 = 633,570/x
  3. Step 3: Cross multiply
    291,875x = 633,570 × 633,570
  4. Step 4: Simplify right side
    291,875x = 401,410,944,900
  5. Step 5: Solve for x
    x = 401,410,944,900/291,875
  6. Step 6: Final answer
    x = 1,375,283.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.