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Finding the Third Proportional to 595,242 and 898,230

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Solution

The third proportional to 595,242 and 898,230 is: 1,355,443.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,242 : 898,230 = 898,230 : x
  2. Step 2: Convert to fraction form
    595,242/898,230 = 898,230/x
  3. Step 3: Cross multiply
    595,242x = 898,230 × 898,230
  4. Step 4: Simplify right side
    595,242x = 806,817,132,900
  5. Step 5: Solve for x
    x = 806,817,132,900/595,242
  6. Step 6: Final answer
    x = 1,355,443.89

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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.