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Finding the Third Proportional to 466,573.50 and 684,553.50

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Solution

The third proportional to 466,573.50 and 684,553.50 is: 1,004,372.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,573.50 : 684,553.50 = 684,553.50 : x
  2. Step 2: Convert to fraction form
    466,573.50/684,553.50 = 684,553.50/x
  3. Step 3: Cross multiply
    466,573.50x = 684,553.50 × 684,553.50
  4. Step 4: Simplify right side
    466,573.50x = 468,613,494,362.25
  5. Step 5: Solve for x
    x = 468,613,494,362.25/466,573.50
  6. Step 6: Final answer
    x = 1,004,372.29

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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.