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Finding the Third Proportional to 430,520.06 and 938,543.63

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Solution

The third proportional to 430,520.06 and 938,543.63 is: 2,046,046.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,520.06 : 938,543.63 = 938,543.63 : x
  2. Step 2: Convert to fraction form
    430,520.06/938,543.63 = 938,543.63/x
  3. Step 3: Cross multiply
    430,520.06x = 938,543.63 × 938,543.63
  4. Step 4: Simplify right side
    430,520.06x = 880,864,136,028.14
  5. Step 5: Solve for x
    x = 880,864,136,028.14/430,520.06
  6. Step 6: Final answer
    x = 2,046,046.66

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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.