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Finding the Third Proportional to 466,367.63 and 684,237.38

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Solution

The third proportional to 466,367.63 and 684,237.38 is: 1,003,887.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,367.63 : 684,237.38 = 684,237.38 : x
  2. Step 2: Convert to fraction form
    466,367.63/684,237.38 = 684,237.38/x
  3. Step 3: Cross multiply
    466,367.63x = 684,237.38 × 684,237.38
  4. Step 4: Simplify right side
    466,367.63x = 468,180,785,346.89
  5. Step 5: Solve for x
    x = 468,180,785,346.89/466,367.63
  6. Step 6: Final answer
    x = 1,003,887.83

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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.