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Finding the Third Proportional to 466,362 and 684,233

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Solution

The third proportional to 466,362 and 684,233 is: 1,003,887.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,362 : 684,233 = 684,233 : x
  2. Step 2: Convert to fraction form
    466,362/684,233 = 684,233/x
  3. Step 3: Cross multiply
    466,362x = 684,233 × 684,233
  4. Step 4: Simplify right side
    466,362x = 468,174,798,289
  5. Step 5: Solve for x
    x = 468,174,798,289/466,362
  6. Step 6: Final answer
    x = 1,003,887.11

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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.