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Finding the Third Proportional to 371,316.50 and 812,184.50

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Solution

The third proportional to 371,316.50 and 812,184.50 is: 1,776,499.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,316.50 : 812,184.50 = 812,184.50 : x
  2. Step 2: Convert to fraction form
    371,316.50/812,184.50 = 812,184.50/x
  3. Step 3: Cross multiply
    371,316.50x = 812,184.50 × 812,184.50
  4. Step 4: Simplify right side
    371,316.50x = 659,643,662,040.25
  5. Step 5: Solve for x
    x = 659,643,662,040.25/371,316.50
  6. Step 6: Final answer
    x = 1,776,499.73

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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.