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Finding the Third Proportional to 381,868.50 and 795,111

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Solution

The third proportional to 381,868.50 and 795,111 is: 1,655,547.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,868.50 : 795,111 = 795,111 : x
  2. Step 2: Convert to fraction form
    381,868.50/795,111 = 795,111/x
  3. Step 3: Cross multiply
    381,868.50x = 795,111 × 795,111
  4. Step 4: Simplify right side
    381,868.50x = 632,201,502,321
  5. Step 5: Solve for x
    x = 632,201,502,321/381,868.50
  6. Step 6: Final answer
    x = 1,655,547.66

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.