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Finding the Third Proportional to 351,564 and 728,051

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Solution

The third proportional to 351,564 and 728,051 is: 1,507,714.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,564 : 728,051 = 728,051 : x
  2. Step 2: Convert to fraction form
    351,564/728,051 = 728,051/x
  3. Step 3: Cross multiply
    351,564x = 728,051 × 728,051
  4. Step 4: Simplify right side
    351,564x = 530,058,258,601
  5. Step 5: Solve for x
    x = 530,058,258,601/351,564
  6. Step 6: Final answer
    x = 1,507,714.84

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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.