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Finding the Third Proportional to 292,160 and 417,504

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Solution

The third proportional to 292,160 and 417,504 is: 596,623.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,160 : 417,504 = 417,504 : x
  2. Step 2: Convert to fraction form
    292,160/417,504 = 417,504/x
  3. Step 3: Cross multiply
    292,160x = 417,504 × 417,504
  4. Step 4: Simplify right side
    292,160x = 174,309,590,016
  5. Step 5: Solve for x
    x = 174,309,590,016/292,160
  6. Step 6: Final answer
    x = 596,623.73

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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.