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Finding the Third Proportional to 401,047.50 and 544,806

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Solution

The third proportional to 401,047.50 and 544,806 is: 740,095.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,047.50 : 544,806 = 544,806 : x
  2. Step 2: Convert to fraction form
    401,047.50/544,806 = 544,806/x
  3. Step 3: Cross multiply
    401,047.50x = 544,806 × 544,806
  4. Step 4: Simplify right side
    401,047.50x = 296,813,577,636
  5. Step 5: Solve for x
    x = 296,813,577,636/401,047.50
  6. Step 6: Final answer
    x = 740,095.82

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.