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Finding the Third Proportional to 193,804 and 415,628

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Solution

The third proportional to 193,804 and 415,628 is: 891,347.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,804 : 415,628 = 415,628 : x
  2. Step 2: Convert to fraction form
    193,804/415,628 = 415,628/x
  3. Step 3: Cross multiply
    193,804x = 415,628 × 415,628
  4. Step 4: Simplify right side
    193,804x = 172,746,634,384
  5. Step 5: Solve for x
    x = 172,746,634,384/193,804
  6. Step 6: Final answer
    x = 891,347.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.