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Finding the Third Proportional to 292,684 and 638,410

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Solution

The third proportional to 292,684 and 638,410 is: 1,392,516.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,684 : 638,410 = 638,410 : x
  2. Step 2: Convert to fraction form
    292,684/638,410 = 638,410/x
  3. Step 3: Cross multiply
    292,684x = 638,410 × 638,410
  4. Step 4: Simplify right side
    292,684x = 407,567,328,100
  5. Step 5: Solve for x
    x = 407,567,328,100/292,684
  6. Step 6: Final answer
    x = 1,392,516.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.