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Finding the Third Proportional to 233,805 and 376,527

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Solution

The third proportional to 233,805 and 376,527 is: 606,371.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,805 : 376,527 = 376,527 : x
  2. Step 2: Convert to fraction form
    233,805/376,527 = 376,527/x
  3. Step 3: Cross multiply
    233,805x = 376,527 × 376,527
  4. Step 4: Simplify right side
    233,805x = 141,772,581,729
  5. Step 5: Solve for x
    x = 141,772,581,729/233,805
  6. Step 6: Final answer
    x = 606,371.04

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.