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Finding the Third Proportional to 401,328 and 546,630

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Solution

The third proportional to 401,328 and 546,630 is: 744,539.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,328 : 546,630 = 546,630 : x
  2. Step 2: Convert to fraction form
    401,328/546,630 = 546,630/x
  3. Step 3: Cross multiply
    401,328x = 546,630 × 546,630
  4. Step 4: Simplify right side
    401,328x = 298,804,356,900
  5. Step 5: Solve for x
    x = 298,804,356,900/401,328
  6. Step 6: Final answer
    x = 744,539.02

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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.