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Finding the Third Proportional to 461,380.50 and 954,513

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Solution

The third proportional to 461,380.50 and 954,513 is: 1,974,715.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,380.50 : 954,513 = 954,513 : x
  2. Step 2: Convert to fraction form
    461,380.50/954,513 = 954,513/x
  3. Step 3: Cross multiply
    461,380.50x = 954,513 × 954,513
  4. Step 4: Simplify right side
    461,380.50x = 911,095,067,169
  5. Step 5: Solve for x
    x = 911,095,067,169/461,380.50
  6. Step 6: Final answer
    x = 1,974,715.16

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.