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Finding the Third Proportional to 350,388 and 725,664

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Solution

The third proportional to 350,388 and 725,664 is: 1,502,871.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,388 : 725,664 = 725,664 : x
  2. Step 2: Convert to fraction form
    350,388/725,664 = 725,664/x
  3. Step 3: Cross multiply
    350,388x = 725,664 × 725,664
  4. Step 4: Simplify right side
    350,388x = 526,588,240,896
  5. Step 5: Solve for x
    x = 526,588,240,896/350,388
  6. Step 6: Final answer
    x = 1,502,871.79

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.