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Finding the Third Proportional to 588,383 and 909,201

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Solution

The third proportional to 588,383 and 909,201 is: 1,404,946.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,383 : 909,201 = 909,201 : x
  2. Step 2: Convert to fraction form
    588,383/909,201 = 909,201/x
  3. Step 3: Cross multiply
    588,383x = 909,201 × 909,201
  4. Step 4: Simplify right side
    588,383x = 826,646,458,401
  5. Step 5: Solve for x
    x = 826,646,458,401/588,383
  6. Step 6: Final answer
    x = 1,404,946.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.