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Finding the Third Proportional to 413,026.50 and 875,604

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Solution

The third proportional to 413,026.50 and 875,604 is: 1,856,254.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,026.50 : 875,604 = 875,604 : x
  2. Step 2: Convert to fraction form
    413,026.50/875,604 = 875,604/x
  3. Step 3: Cross multiply
    413,026.50x = 875,604 × 875,604
  4. Step 4: Simplify right side
    413,026.50x = 766,682,364,816
  5. Step 5: Solve for x
    x = 766,682,364,816/413,026.50
  6. Step 6: Final answer
    x = 1,856,254.66

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