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Finding the Third Proportional to 406,862.25 and 891,231

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Solution

The third proportional to 406,862.25 and 891,231 is: 1,952,239.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,862.25 : 891,231 = 891,231 : x
  2. Step 2: Convert to fraction form
    406,862.25/891,231 = 891,231/x
  3. Step 3: Cross multiply
    406,862.25x = 891,231 × 891,231
  4. Step 4: Simplify right side
    406,862.25x = 794,292,695,361
  5. Step 5: Solve for x
    x = 794,292,695,361/406,862.25
  6. Step 6: Final answer
    x = 1,952,239.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.