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Finding the Third Proportional to 430,465.50 and 938,436.75

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Solution

The third proportional to 430,465.50 and 938,436.75 is: 2,045,839.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,465.50 : 938,436.75 = 938,436.75 : x
  2. Step 2: Convert to fraction form
    430,465.50/938,436.75 = 938,436.75/x
  3. Step 3: Cross multiply
    430,465.50x = 938,436.75 × 938,436.75
  4. Step 4: Simplify right side
    430,465.50x = 880,663,533,750.56
  5. Step 5: Solve for x
    x = 880,663,533,750.56/430,465.50
  6. Step 6: Final answer
    x = 2,045,839.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.