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Finding the Third Proportional to 466,953.75 and 684,937.13

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Solution

The third proportional to 466,953.75 and 684,937.13 is: 1,004,679.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,953.75 : 684,937.13 = 684,937.13 : x
  2. Step 2: Convert to fraction form
    466,953.75/684,937.13 = 684,937.13/x
  3. Step 3: Cross multiply
    466,953.75x = 684,937.13 × 684,937.13
  4. Step 4: Simplify right side
    466,953.75x = 469,138,865,203.27
  5. Step 5: Solve for x
    x = 469,138,865,203.27/466,953.75
  6. Step 6: Final answer
    x = 1,004,679.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.