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Finding the Third Proportional to 459,076.50 and 698,769

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Solution

The third proportional to 459,076.50 and 698,769 is: 1,063,609.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,076.50 : 698,769 = 698,769 : x
  2. Step 2: Convert to fraction form
    459,076.50/698,769 = 698,769/x
  3. Step 3: Cross multiply
    459,076.50x = 698,769 × 698,769
  4. Step 4: Simplify right side
    459,076.50x = 488,278,115,361
  5. Step 5: Solve for x
    x = 488,278,115,361/459,076.50
  6. Step 6: Final answer
    x = 1,063,609.48

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.