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Finding the Third Proportional to 430,570.50 and 926,956

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Solution

The third proportional to 430,570.50 and 926,956 is: 1,995,602.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,570.50 : 926,956 = 926,956 : x
  2. Step 2: Convert to fraction form
    430,570.50/926,956 = 926,956/x
  3. Step 3: Cross multiply
    430,570.50x = 926,956 × 926,956
  4. Step 4: Simplify right side
    430,570.50x = 859,247,425,936
  5. Step 5: Solve for x
    x = 859,247,425,936/430,570.50
  6. Step 6: Final answer
    x = 1,995,602.17

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.