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Finding the Third Proportional to 292,464 and 638,460

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Solution

The third proportional to 292,464 and 638,460 is: 1,393,782.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,464 : 638,460 = 638,460 : x
  2. Step 2: Convert to fraction form
    292,464/638,460 = 638,460/x
  3. Step 3: Cross multiply
    292,464x = 638,460 × 638,460
  4. Step 4: Simplify right side
    292,464x = 407,631,171,600
  5. Step 5: Solve for x
    x = 407,631,171,600/292,464
  6. Step 6: Final answer
    x = 1,393,782.39

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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.