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Finding the Third Proportional to 371,514 and 574,008

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Solution

The third proportional to 371,514 and 574,008 is: 886,871.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,514 : 574,008 = 574,008 : x
  2. Step 2: Convert to fraction form
    371,514/574,008 = 574,008/x
  3. Step 3: Cross multiply
    371,514x = 574,008 × 574,008
  4. Step 4: Simplify right side
    371,514x = 329,485,184,064
  5. Step 5: Solve for x
    x = 329,485,184,064/371,514
  6. Step 6: Final answer
    x = 886,871.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.