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Finding the Third Proportional to 347,596.31 and 492,895.13

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Solution

The third proportional to 347,596.31 and 492,895.13 is: 698,930.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,596.31 : 492,895.13 = 492,895.13 : x
  2. Step 2: Convert to fraction form
    347,596.31/492,895.13 = 492,895.13/x
  3. Step 3: Cross multiply
    347,596.31x = 492,895.13 × 492,895.13
  4. Step 4: Simplify right side
    347,596.31x = 242,945,604,248.77
  5. Step 5: Solve for x
    x = 242,945,604,248.77/347,596.31
  6. Step 6: Final answer
    x = 698,930.33

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.