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Finding the Third Proportional to 263,232 and 573,184

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Solution

The third proportional to 263,232 and 573,184 is: 1,248,100.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,232 : 573,184 = 573,184 : x
  2. Step 2: Convert to fraction form
    263,232/573,184 = 573,184/x
  3. Step 3: Cross multiply
    263,232x = 573,184 × 573,184
  4. Step 4: Simplify right side
    263,232x = 328,539,897,856
  5. Step 5: Solve for x
    x = 328,539,897,856/263,232
  6. Step 6: Final answer
    x = 1,248,100.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.