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Finding the Third Proportional to 292,032 and 417,312

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Solution

The third proportional to 292,032 and 417,312 is: 596,336.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,032 : 417,312 = 417,312 : x
  2. Step 2: Convert to fraction form
    292,032/417,312 = 417,312/x
  3. Step 3: Cross multiply
    292,032x = 417,312 × 417,312
  4. Step 4: Simplify right side
    292,032x = 174,149,305,344
  5. Step 5: Solve for x
    x = 174,149,305,344/292,032
  6. Step 6: Final answer
    x = 596,336.38

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.