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Finding the Third Proportional to 412,992 and 607,392

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Solution

The third proportional to 412,992 and 607,392 is: 893,298.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,992 : 607,392 = 607,392 : x
  2. Step 2: Convert to fraction form
    412,992/607,392 = 607,392/x
  3. Step 3: Cross multiply
    412,992x = 607,392 × 607,392
  4. Step 4: Simplify right side
    412,992x = 368,925,041,664
  5. Step 5: Solve for x
    x = 368,925,041,664/412,992
  6. Step 6: Final answer
    x = 893,298.28

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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.