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Finding the Third Proportional to 322,548.75 and 683,551.50

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Solution

The third proportional to 322,548.75 and 683,551.50 is: 1,448,595.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,548.75 : 683,551.50 = 683,551.50 : x
  2. Step 2: Convert to fraction form
    322,548.75/683,551.50 = 683,551.50/x
  3. Step 3: Cross multiply
    322,548.75x = 683,551.50 × 683,551.50
  4. Step 4: Simplify right side
    322,548.75x = 467,242,653,152.25
  5. Step 5: Solve for x
    x = 467,242,653,152.25/322,548.75
  6. Step 6: Final answer
    x = 1,448,595.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.