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Finding the Third Proportional to 458,090 and 685,029

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Solution

The third proportional to 458,090 and 685,029 is: 1,024,394.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,090 : 685,029 = 685,029 : x
  2. Step 2: Convert to fraction form
    458,090/685,029 = 685,029/x
  3. Step 3: Cross multiply
    458,090x = 685,029 × 685,029
  4. Step 4: Simplify right side
    458,090x = 469,264,730,841
  5. Step 5: Solve for x
    x = 469,264,730,841/458,090
  6. Step 6: Final answer
    x = 1,024,394.18

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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.