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Finding the Third Proportional to 458,117 and 699,021.50

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Solution

The third proportional to 458,117 and 699,021.50 is: 1,066,607.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,117 : 699,021.50 = 699,021.50 : x
  2. Step 2: Convert to fraction form
    458,117/699,021.50 = 699,021.50/x
  3. Step 3: Cross multiply
    458,117x = 699,021.50 × 699,021.50
  4. Step 4: Simplify right side
    458,117x = 488,631,057,462.25
  5. Step 5: Solve for x
    x = 488,631,057,462.25/458,117
  6. Step 6: Final answer
    x = 1,066,607.56

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.