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Finding the Third Proportional to 458,124 and 685,070

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Solution

The third proportional to 458,124 and 685,070 is: 1,024,440.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,124 : 685,070 = 685,070 : x
  2. Step 2: Convert to fraction form
    458,124/685,070 = 685,070/x
  3. Step 3: Cross multiply
    458,124x = 685,070 × 685,070
  4. Step 4: Simplify right side
    458,124x = 469,320,904,900
  5. Step 5: Solve for x
    x = 469,320,904,900/458,124
  6. Step 6: Final answer
    x = 1,024,440.77

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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.