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Finding the Third Proportional to 634,167 and 981,527.25

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Solution

The third proportional to 634,167 and 981,527.25 is: 1,519,151.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,167 : 981,527.25 = 981,527.25 : x
  2. Step 2: Convert to fraction form
    634,167/981,527.25 = 981,527.25/x
  3. Step 3: Cross multiply
    634,167x = 981,527.25 × 981,527.25
  4. Step 4: Simplify right side
    634,167x = 963,395,742,492.56
  5. Step 5: Solve for x
    x = 963,395,742,492.56/634,167
  6. Step 6: Final answer
    x = 1,519,151.49

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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.