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Finding the Third Proportional to 335,382 and 506,211

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Solution

The third proportional to 335,382 and 506,211 is: 764,052.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,382 : 506,211 = 506,211 : x
  2. Step 2: Convert to fraction form
    335,382/506,211 = 506,211/x
  3. Step 3: Cross multiply
    335,382x = 506,211 × 506,211
  4. Step 4: Simplify right side
    335,382x = 256,249,576,521
  5. Step 5: Solve for x
    x = 256,249,576,521/335,382
  6. Step 6: Final answer
    x = 764,052.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.