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Finding the Third Proportional to 465,667 and 712,034

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Solution

The third proportional to 465,667 and 712,034 is: 1,088,744.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,667 : 712,034 = 712,034 : x
  2. Step 2: Convert to fraction form
    465,667/712,034 = 712,034/x
  3. Step 3: Cross multiply
    465,667x = 712,034 × 712,034
  4. Step 4: Simplify right side
    465,667x = 506,992,417,156
  5. Step 5: Solve for x
    x = 506,992,417,156/465,667
  6. Step 6: Final answer
    x = 1,088,744.57

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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.