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Finding the Third Proportional to 246,970.50 and 392,744.25

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Solution

The third proportional to 246,970.50 and 392,744.25 is: 624,560.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,970.50 : 392,744.25 = 392,744.25 : x
  2. Step 2: Convert to fraction form
    246,970.50/392,744.25 = 392,744.25/x
  3. Step 3: Cross multiply
    246,970.50x = 392,744.25 × 392,744.25
  4. Step 4: Simplify right side
    246,970.50x = 154,248,045,908.06
  5. Step 5: Solve for x
    x = 154,248,045,908.06/246,970.50
  6. Step 6: Final answer
    x = 624,560.61

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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.