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Finding the Third Proportional to 438,654 and 594,403

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Solution

The third proportional to 438,654 and 594,403 is: 805,452.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,654 : 594,403 = 594,403 : x
  2. Step 2: Convert to fraction form
    438,654/594,403 = 594,403/x
  3. Step 3: Cross multiply
    438,654x = 594,403 × 594,403
  4. Step 4: Simplify right side
    438,654x = 353,314,926,409
  5. Step 5: Solve for x
    x = 353,314,926,409/438,654
  6. Step 6: Final answer
    x = 805,452.42

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.