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Finding the Third Proportional to 245,804 and 539,112

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Solution

The third proportional to 245,804 and 539,112 is: 1,182,412.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,804 : 539,112 = 539,112 : x
  2. Step 2: Convert to fraction form
    245,804/539,112 = 539,112/x
  3. Step 3: Cross multiply
    245,804x = 539,112 × 539,112
  4. Step 4: Simplify right side
    245,804x = 290,641,748,544
  5. Step 5: Solve for x
    x = 290,641,748,544/245,804
  6. Step 6: Final answer
    x = 1,182,412.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.