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Finding the Third Proportional to 411,409.13 and 546,021

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Solution

The third proportional to 411,409.13 and 546,021 is: 724,677.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,409.13 : 546,021 = 546,021 : x
  2. Step 2: Convert to fraction form
    411,409.13/546,021 = 546,021/x
  3. Step 3: Cross multiply
    411,409.13x = 546,021 × 546,021
  4. Step 4: Simplify right side
    411,409.13x = 298,138,932,441
  5. Step 5: Solve for x
    x = 298,138,932,441/411,409.13
  6. Step 6: Final answer
    x = 724,677.49

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.