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Finding the Third Proportional to 634,334.63 and 983,103.75

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Solution

The third proportional to 634,334.63 and 983,103.75 is: 1,523,632.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,334.63 : 983,103.75 = 983,103.75 : x
  2. Step 2: Convert to fraction form
    634,334.63/983,103.75 = 983,103.75/x
  3. Step 3: Cross multiply
    634,334.63x = 983,103.75 × 983,103.75
  4. Step 4: Simplify right side
    634,334.63x = 966,492,983,264.06
  5. Step 5: Solve for x
    x = 966,492,983,264.06/634,334.63
  6. Step 6: Final answer
    x = 1,523,632.71

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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.