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Finding the Third Proportional to 295,704 and 463,269.38

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Solution

The third proportional to 295,704 and 463,269.38 is: 725,788.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,704 : 463,269.38 = 463,269.38 : x
  2. Step 2: Convert to fraction form
    295,704/463,269.38 = 463,269.38/x
  3. Step 3: Cross multiply
    295,704x = 463,269.38 × 463,269.38
  4. Step 4: Simplify right side
    295,704x = 214,618,513,812.89
  5. Step 5: Solve for x
    x = 214,618,513,812.89/295,704
  6. Step 6: Final answer
    x = 725,788.34

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.