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Finding the Third Proportional to 292,434 and 607,845

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Solution

The third proportional to 292,434 and 607,845 is: 1,263,449.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,434 : 607,845 = 607,845 : x
  2. Step 2: Convert to fraction form
    292,434/607,845 = 607,845/x
  3. Step 3: Cross multiply
    292,434x = 607,845 × 607,845
  4. Step 4: Simplify right side
    292,434x = 369,475,544,025
  5. Step 5: Solve for x
    x = 369,475,544,025/292,434
  6. Step 6: Final answer
    x = 1,263,449.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.