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Finding the Third Proportional to 777,516.75 and 1,217,032.50

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Solution

The third proportional to 777,516.75 and 1,217,032.50 is: 1,904,998.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,516.75 : 1,217,032.50 = 1,217,032.50 : x
  2. Step 2: Convert to fraction form
    777,516.75/1,217,032.50 = 1,217,032.50/x
  3. Step 3: Cross multiply
    777,516.75x = 1,217,032.50 × 1,217,032.50
  4. Step 4: Simplify right side
    777,516.75x = 1,481,168,106,056.25
  5. Step 5: Solve for x
    x = 1,481,168,106,056.25/777,516.75
  6. Step 6: Final answer
    x = 1,904,998.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.