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Finding the Third Proportional to 430,498.13 and 938,499.75

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Solution

The third proportional to 430,498.13 and 938,499.75 is: 2,045,959.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,498.13 : 938,499.75 = 938,499.75 : x
  2. Step 2: Convert to fraction form
    430,498.13/938,499.75 = 938,499.75/x
  3. Step 3: Cross multiply
    430,498.13x = 938,499.75 × 938,499.75
  4. Step 4: Simplify right side
    430,498.13x = 880,781,780,750.06
  5. Step 5: Solve for x
    x = 880,781,780,750.06/430,498.13
  6. Step 6: Final answer
    x = 2,045,959.62

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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.