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Finding the Third Proportional to 595,229 and 898,211

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Solution

The third proportional to 595,229 and 898,211 is: 1,355,416.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,229 : 898,211 = 898,211 : x
  2. Step 2: Convert to fraction form
    595,229/898,211 = 898,211/x
  3. Step 3: Cross multiply
    595,229x = 898,211 × 898,211
  4. Step 4: Simplify right side
    595,229x = 806,783,000,521
  5. Step 5: Solve for x
    x = 806,783,000,521/595,229
  6. Step 6: Final answer
    x = 1,355,416.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.