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Finding the Third Proportional to 427,008 and 988,416

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Solution

The third proportional to 427,008 and 988,416 is: 2,287,934.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,008 : 988,416 = 988,416 : x
  2. Step 2: Convert to fraction form
    427,008/988,416 = 988,416/x
  3. Step 3: Cross multiply
    427,008x = 988,416 × 988,416
  4. Step 4: Simplify right side
    427,008x = 976,966,189,056
  5. Step 5: Solve for x
    x = 976,966,189,056/427,008
  6. Step 6: Final answer
    x = 2,287,934.16

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.