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Finding the Third Proportional to 370,858 and 531,012

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Solution

The third proportional to 370,858 and 531,012 is: 760,328.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,858 : 531,012 = 531,012 : x
  2. Step 2: Convert to fraction form
    370,858/531,012 = 531,012/x
  3. Step 3: Cross multiply
    370,858x = 531,012 × 531,012
  4. Step 4: Simplify right side
    370,858x = 281,973,744,144
  5. Step 5: Solve for x
    x = 281,973,744,144/370,858
  6. Step 6: Final answer
    x = 760,328.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.