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Finding the Third Proportional to 315,019.13 and 467,587.69

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Solution

The third proportional to 315,019.13 and 467,587.69 is: 694,047.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,019.13 : 467,587.69 = 467,587.69 : x
  2. Step 2: Convert to fraction form
    315,019.13/467,587.69 = 467,587.69/x
  3. Step 3: Cross multiply
    315,019.13x = 467,587.69 × 467,587.69
  4. Step 4: Simplify right side
    315,019.13x = 218,638,245,501.60
  5. Step 5: Solve for x
    x = 218,638,245,501.60/315,019.13
  6. Step 6: Final answer
    x = 694,047.53

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.