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Finding the Third Proportional to 492,969 and 761,218

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Solution

The third proportional to 492,969 and 761,218 is: 1,175,434.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,969 : 761,218 = 761,218 : x
  2. Step 2: Convert to fraction form
    492,969/761,218 = 761,218/x
  3. Step 3: Cross multiply
    492,969x = 761,218 × 761,218
  4. Step 4: Simplify right side
    492,969x = 579,452,843,524
  5. Step 5: Solve for x
    x = 579,452,843,524/492,969
  6. Step 6: Final answer
    x = 1,175,434.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.