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Finding the Third Proportional to 406,421 and 632,893

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Solution

The third proportional to 406,421 and 632,893 is: 985,563.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,421 : 632,893 = 632,893 : x
  2. Step 2: Convert to fraction form
    406,421/632,893 = 632,893/x
  3. Step 3: Cross multiply
    406,421x = 632,893 × 632,893
  4. Step 4: Simplify right side
    406,421x = 400,553,549,449
  5. Step 5: Solve for x
    x = 400,553,549,449/406,421
  6. Step 6: Final answer
    x = 985,563.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.