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Finding the Third Proportional to 374,216.84 and 586,360.27

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Solution

The third proportional to 374,216.84 and 586,360.27 is: 918,767.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,216.84 : 586,360.27 = 586,360.27 : x
  2. Step 2: Convert to fraction form
    374,216.84/586,360.27 = 586,360.27/x
  3. Step 3: Cross multiply
    374,216.84x = 586,360.27 × 586,360.27
  4. Step 4: Simplify right side
    374,216.84x = 343,818,361,103.82
  5. Step 5: Solve for x
    x = 343,818,361,103.82/374,216.84
  6. Step 6: Final answer
    x = 918,767.75

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.