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Finding the Third Proportional to 472,009 and 725,932

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Solution

The third proportional to 472,009 and 725,932 is: 1,116,455.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,009 : 725,932 = 725,932 : x
  2. Step 2: Convert to fraction form
    472,009/725,932 = 725,932/x
  3. Step 3: Cross multiply
    472,009x = 725,932 × 725,932
  4. Step 4: Simplify right side
    472,009x = 526,977,268,624
  5. Step 5: Solve for x
    x = 526,977,268,624/472,009
  6. Step 6: Final answer
    x = 1,116,455.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.