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Finding the Third Proportional to 341,218 and 516,527

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Solution

The third proportional to 341,218 and 516,527 is: 781,905.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,218 : 516,527 = 516,527 : x
  2. Step 2: Convert to fraction form
    341,218/516,527 = 516,527/x
  3. Step 3: Cross multiply
    341,218x = 516,527 × 516,527
  4. Step 4: Simplify right side
    341,218x = 266,800,141,729
  5. Step 5: Solve for x
    x = 266,800,141,729/341,218
  6. Step 6: Final answer
    x = 781,905.24

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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.