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Finding the Third Proportional to 403,464 and 593,514

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Solution

The third proportional to 403,464 and 593,514 is: 873,086.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,464 : 593,514 = 593,514 : x
  2. Step 2: Convert to fraction form
    403,464/593,514 = 593,514/x
  3. Step 3: Cross multiply
    403,464x = 593,514 × 593,514
  4. Step 4: Simplify right side
    403,464x = 352,258,868,196
  5. Step 5: Solve for x
    x = 352,258,868,196/403,464
  6. Step 6: Final answer
    x = 873,086.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.