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Finding the Third Proportional to 427,535.72 and 928,996.59

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Solution

The third proportional to 427,535.72 and 928,996.59 is: 2,018,625.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,535.72 : 928,996.59 = 928,996.59 : x
  2. Step 2: Convert to fraction form
    427,535.72/928,996.59 = 928,996.59/x
  3. Step 3: Cross multiply
    427,535.72x = 928,996.59 × 928,996.59
  4. Step 4: Simplify right side
    427,535.72x = 863,034,671,199.10
  5. Step 5: Solve for x
    x = 863,034,671,199.10/427,535.72
  6. Step 6: Final answer
    x = 2,018,625.89

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.