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Finding the Third Proportional to 466,422 and 720,246

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Solution

The third proportional to 466,422 and 720,246 is: 1,112,199.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,422 : 720,246 = 720,246 : x
  2. Step 2: Convert to fraction form
    466,422/720,246 = 720,246/x
  3. Step 3: Cross multiply
    466,422x = 720,246 × 720,246
  4. Step 4: Simplify right side
    466,422x = 518,754,300,516
  5. Step 5: Solve for x
    x = 518,754,300,516/466,422
  6. Step 6: Final answer
    x = 1,112,199.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.