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Finding the Third Proportional to 427,442.25 and 928,965

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Solution

The third proportional to 427,442.25 and 928,965 is: 2,018,929.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,442.25 : 928,965 = 928,965 : x
  2. Step 2: Convert to fraction form
    427,442.25/928,965 = 928,965/x
  3. Step 3: Cross multiply
    427,442.25x = 928,965 × 928,965
  4. Step 4: Simplify right side
    427,442.25x = 862,975,971,225
  5. Step 5: Solve for x
    x = 862,975,971,225/427,442.25
  6. Step 6: Final answer
    x = 2,018,929.98

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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.