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Finding the Third Proportional to 461,400.75 and 988,411.50

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Solution

The third proportional to 461,400.75 and 988,411.50 is: 2,117,372.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,400.75 : 988,411.50 = 988,411.50 : x
  2. Step 2: Convert to fraction form
    461,400.75/988,411.50 = 988,411.50/x
  3. Step 3: Cross multiply
    461,400.75x = 988,411.50 × 988,411.50
  4. Step 4: Simplify right side
    461,400.75x = 976,957,293,332.25
  5. Step 5: Solve for x
    x = 976,957,293,332.25/461,400.75
  6. Step 6: Final answer
    x = 2,117,372.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.