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Finding the Third Proportional to 598,130 and 897,219

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Solution

The third proportional to 598,130 and 897,219 is: 1,345,864.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,130 : 897,219 = 897,219 : x
  2. Step 2: Convert to fraction form
    598,130/897,219 = 897,219/x
  3. Step 3: Cross multiply
    598,130x = 897,219 × 897,219
  4. Step 4: Simplify right side
    598,130x = 805,001,933,961
  5. Step 5: Solve for x
    x = 805,001,933,961/598,130
  6. Step 6: Final answer
    x = 1,345,864.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.