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Finding the Third Proportional to 397,056 and 595,656

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Solution

The third proportional to 397,056 and 595,656 is: 893,592.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,056 : 595,656 = 595,656 : x
  2. Step 2: Convert to fraction form
    397,056/595,656 = 595,656/x
  3. Step 3: Cross multiply
    397,056x = 595,656 × 595,656
  4. Step 4: Simplify right side
    397,056x = 354,806,070,336
  5. Step 5: Solve for x
    x = 354,806,070,336/397,056
  6. Step 6: Final answer
    x = 893,592.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.