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Finding the Third Proportional to 351,562 and 761,444

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Solution

The third proportional to 351,562 and 761,444 is: 1,649,202.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,562 : 761,444 = 761,444 : x
  2. Step 2: Convert to fraction form
    351,562/761,444 = 761,444/x
  3. Step 3: Cross multiply
    351,562x = 761,444 × 761,444
  4. Step 4: Simplify right side
    351,562x = 579,796,965,136
  5. Step 5: Solve for x
    x = 579,796,965,136/351,562
  6. Step 6: Final answer
    x = 1,649,202.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.