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Finding the Third Proportional to 233,442 and 521,316

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Solution

The third proportional to 233,442 and 521,316 is: 1,164,187.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,442 : 521,316 = 521,316 : x
  2. Step 2: Convert to fraction form
    233,442/521,316 = 521,316/x
  3. Step 3: Cross multiply
    233,442x = 521,316 × 521,316
  4. Step 4: Simplify right side
    233,442x = 271,770,371,856
  5. Step 5: Solve for x
    x = 271,770,371,856/233,442
  6. Step 6: Final answer
    x = 1,164,187.99

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.