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Finding the Third Proportional to 430,468.50 and 938,443.50

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Solution

The third proportional to 430,468.50 and 938,443.50 is: 2,045,855.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,468.50 : 938,443.50 = 938,443.50 : x
  2. Step 2: Convert to fraction form
    430,468.50/938,443.50 = 938,443.50/x
  3. Step 3: Cross multiply
    430,468.50x = 938,443.50 × 938,443.50
  4. Step 4: Simplify right side
    430,468.50x = 880,676,202,692.25
  5. Step 5: Solve for x
    x = 880,676,202,692.25/430,468.50
  6. Step 6: Final answer
    x = 2,045,855.16

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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.