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Finding the Third Proportional to 347,747 and 761,992

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Solution

The third proportional to 347,747 and 761,992 is: 1,669,696.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,747 : 761,992 = 761,992 : x
  2. Step 2: Convert to fraction form
    347,747/761,992 = 761,992/x
  3. Step 3: Cross multiply
    347,747x = 761,992 × 761,992
  4. Step 4: Simplify right side
    347,747x = 580,631,808,064
  5. Step 5: Solve for x
    x = 580,631,808,064/347,747
  6. Step 6: Final answer
    x = 1,669,696.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.