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Finding the Third Proportional to 370,126.50 and 803,673.75

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Solution

The third proportional to 370,126.50 and 803,673.75 is: 1,745,056.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,126.50 : 803,673.75 = 803,673.75 : x
  2. Step 2: Convert to fraction form
    370,126.50/803,673.75 = 803,673.75/x
  3. Step 3: Cross multiply
    370,126.50x = 803,673.75 × 803,673.75
  4. Step 4: Simplify right side
    370,126.50x = 645,891,496,439.06
  5. Step 5: Solve for x
    x = 645,891,496,439.06/370,126.50
  6. Step 6: Final answer
    x = 1,745,056.07

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.