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Finding the Third Proportional to 403,468 and 593,520

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Solution

The third proportional to 403,468 and 593,520 is: 873,095.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,468 : 593,520 = 593,520 : x
  2. Step 2: Convert to fraction form
    403,468/593,520 = 593,520/x
  3. Step 3: Cross multiply
    403,468x = 593,520 × 593,520
  4. Step 4: Simplify right side
    403,468x = 352,265,990,400
  5. Step 5: Solve for x
    x = 352,265,990,400/403,468
  6. Step 6: Final answer
    x = 873,095.24

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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.