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Finding the Third Proportional to 351,013.50 and 828,326.25

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Solution

The third proportional to 351,013.50 and 828,326.25 is: 1,954,695.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,013.50 : 828,326.25 = 828,326.25 : x
  2. Step 2: Convert to fraction form
    351,013.50/828,326.25 = 828,326.25/x
  3. Step 3: Cross multiply
    351,013.50x = 828,326.25 × 828,326.25
  4. Step 4: Simplify right side
    351,013.50x = 686,124,376,439.06
  5. Step 5: Solve for x
    x = 686,124,376,439.06/351,013.50
  6. Step 6: Final answer
    x = 1,954,695.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.