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Finding the Third Proportional to 353,205 and 725,179.50

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Solution

The third proportional to 353,205 and 725,179.50 is: 1,488,895.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,205 : 725,179.50 = 725,179.50 : x
  2. Step 2: Convert to fraction form
    353,205/725,179.50 = 725,179.50/x
  3. Step 3: Cross multiply
    353,205x = 725,179.50 × 725,179.50
  4. Step 4: Simplify right side
    353,205x = 525,885,307,220.25
  5. Step 5: Solve for x
    x = 525,885,307,220.25/353,205
  6. Step 6: Final answer
    x = 1,488,895.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.