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Finding the Third Proportional to 634,380 and 983,442

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Solution

The third proportional to 634,380 and 983,442 is: 1,524,572.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,380 : 983,442 = 983,442 : x
  2. Step 2: Convert to fraction form
    634,380/983,442 = 983,442/x
  3. Step 3: Cross multiply
    634,380x = 983,442 × 983,442
  4. Step 4: Simplify right side
    634,380x = 967,158,167,364
  5. Step 5: Solve for x
    x = 967,158,167,364/634,380
  6. Step 6: Final answer
    x = 1,524,572.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.