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Finding the Third Proportional to 200,875 and 437,632

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Solution

The third proportional to 200,875 and 437,632 is: 953,437.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,875 : 437,632 = 437,632 : x
  2. Step 2: Convert to fraction form
    200,875/437,632 = 437,632/x
  3. Step 3: Cross multiply
    200,875x = 437,632 × 437,632
  4. Step 4: Simplify right side
    200,875x = 191,521,767,424
  5. Step 5: Solve for x
    x = 191,521,767,424/200,875
  6. Step 6: Final answer
    x = 953,437.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.