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Finding the Third Proportional to 235,732 and 508,805

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Solution

The third proportional to 235,732 and 508,805 is: 1,098,206.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,732 : 508,805 = 508,805 : x
  2. Step 2: Convert to fraction form
    235,732/508,805 = 508,805/x
  3. Step 3: Cross multiply
    235,732x = 508,805 × 508,805
  4. Step 4: Simplify right side
    235,732x = 258,882,528,025
  5. Step 5: Solve for x
    x = 258,882,528,025/235,732
  6. Step 6: Final answer
    x = 1,098,206.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.