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Finding the Third Proportional to 342,913.50 and 832,083.75

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Solution

The third proportional to 342,913.50 and 832,083.75 is: 2,019,061.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,913.50 : 832,083.75 = 832,083.75 : x
  2. Step 2: Convert to fraction form
    342,913.50/832,083.75 = 832,083.75/x
  3. Step 3: Cross multiply
    342,913.50x = 832,083.75 × 832,083.75
  4. Step 4: Simplify right side
    342,913.50x = 692,363,367,014.06
  5. Step 5: Solve for x
    x = 692,363,367,014.06/342,913.50
  6. Step 6: Final answer
    x = 2,019,061.27

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.