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Finding the Third Proportional to 413,024.06 and 875,597.34

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Solution

The third proportional to 413,024.06 and 875,597.34 is: 1,856,237.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,024.06 : 875,597.34 = 875,597.34 : x
  2. Step 2: Convert to fraction form
    413,024.06/875,597.34 = 875,597.34/x
  3. Step 3: Cross multiply
    413,024.06x = 875,597.34 × 875,597.34
  4. Step 4: Simplify right side
    413,024.06x = 766,670,708,382.06
  5. Step 5: Solve for x
    x = 766,670,708,382.06/413,024.06
  6. Step 6: Final answer
    x = 1,856,237.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.