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Finding the Third Proportional to 347,706 and 761,844

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Solution

The third proportional to 347,706 and 761,844 is: 1,669,244.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,706 : 761,844 = 761,844 : x
  2. Step 2: Convert to fraction form
    347,706/761,844 = 761,844/x
  3. Step 3: Cross multiply
    347,706x = 761,844 × 761,844
  4. Step 4: Simplify right side
    347,706x = 580,406,280,336
  5. Step 5: Solve for x
    x = 580,406,280,336/347,706
  6. Step 6: Final answer
    x = 1,669,244.36

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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.