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Finding the Third Proportional to 412,772 and 570,360

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Solution

The third proportional to 412,772 and 570,360 is: 788,111.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,772 : 570,360 = 570,360 : x
  2. Step 2: Convert to fraction form
    412,772/570,360 = 570,360/x
  3. Step 3: Cross multiply
    412,772x = 570,360 × 570,360
  4. Step 4: Simplify right side
    412,772x = 325,310,529,600
  5. Step 5: Solve for x
    x = 325,310,529,600/412,772
  6. Step 6: Final answer
    x = 788,111.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.