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Finding the Third Proportional to 336,225 and 725,584.50

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Solution

The third proportional to 336,225 and 725,584.50 is: 1,565,834.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,225 : 725,584.50 = 725,584.50 : x
  2. Step 2: Convert to fraction form
    336,225/725,584.50 = 725,584.50/x
  3. Step 3: Cross multiply
    336,225x = 725,584.50 × 725,584.50
  4. Step 4: Simplify right side
    336,225x = 526,472,866,640.25
  5. Step 5: Solve for x
    x = 526,472,866,640.25/336,225
  6. Step 6: Final answer
    x = 1,565,834.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.