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Finding the Third Proportional to 370,423.13 and 810,283.50

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Solution

The third proportional to 370,423.13 and 810,283.50 is: 1,772,457.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,423.13 : 810,283.50 = 810,283.50 : x
  2. Step 2: Convert to fraction form
    370,423.13/810,283.50 = 810,283.50/x
  3. Step 3: Cross multiply
    370,423.13x = 810,283.50 × 810,283.50
  4. Step 4: Simplify right side
    370,423.13x = 656,559,350,372.25
  5. Step 5: Solve for x
    x = 656,559,350,372.25/370,423.13
  6. Step 6: Final answer
    x = 1,772,457.78

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.