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Finding the Third Proportional to 355,947.75 and 767,836.13

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Solution

The third proportional to 355,947.75 and 767,836.13 is: 1,656,345.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,947.75 : 767,836.13 = 767,836.13 : x
  2. Step 2: Convert to fraction form
    355,947.75/767,836.13 = 767,836.13/x
  3. Step 3: Cross multiply
    355,947.75x = 767,836.13 × 767,836.13
  4. Step 4: Simplify right side
    355,947.75x = 589,572,314,855.02
  5. Step 5: Solve for x
    x = 589,572,314,855.02/355,947.75
  6. Step 6: Final answer
    x = 1,656,345.11

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.