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Finding the Third Proportional to 347,795.50 and 553,250

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Solution

The third proportional to 347,795.50 and 553,250 is: 880,073.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,795.50 : 553,250 = 553,250 : x
  2. Step 2: Convert to fraction form
    347,795.50/553,250 = 553,250/x
  3. Step 3: Cross multiply
    347,795.50x = 553,250 × 553,250
  4. Step 4: Simplify right side
    347,795.50x = 306,085,562,500
  5. Step 5: Solve for x
    x = 306,085,562,500/347,795.50
  6. Step 6: Final answer
    x = 880,073.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.