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Finding the Third Proportional to 467,908.50 and 708,465

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Solution

The third proportional to 467,908.50 and 708,465 is: 1,072,694.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,908.50 : 708,465 = 708,465 : x
  2. Step 2: Convert to fraction form
    467,908.50/708,465 = 708,465/x
  3. Step 3: Cross multiply
    467,908.50x = 708,465 × 708,465
  4. Step 4: Simplify right side
    467,908.50x = 501,922,656,225
  5. Step 5: Solve for x
    x = 501,922,656,225/467,908.50
  6. Step 6: Final answer
    x = 1,072,694.03

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.