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Finding the Third Proportional to 655,038 and 994,374

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Solution

The third proportional to 655,038 and 994,374 is: 1,509,499.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,038 : 994,374 = 994,374 : x
  2. Step 2: Convert to fraction form
    655,038/994,374 = 994,374/x
  3. Step 3: Cross multiply
    655,038x = 994,374 × 994,374
  4. Step 4: Simplify right side
    655,038x = 988,779,651,876
  5. Step 5: Solve for x
    x = 988,779,651,876/655,038
  6. Step 6: Final answer
    x = 1,509,499.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.