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Finding the Third Proportional to 233,701 and 508,414

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Solution

The third proportional to 233,701 and 508,414 is: 1,106,049.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,701 : 508,414 = 508,414 : x
  2. Step 2: Convert to fraction form
    233,701/508,414 = 508,414/x
  3. Step 3: Cross multiply
    233,701x = 508,414 × 508,414
  4. Step 4: Simplify right side
    233,701x = 258,484,795,396
  5. Step 5: Solve for x
    x = 258,484,795,396/233,701
  6. Step 6: Final answer
    x = 1,106,049.16

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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.