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Finding the Third Proportional to 301,077 and 410,085.28

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Solution

The third proportional to 301,077 and 410,085.28 is: 558,561.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,077 : 410,085.28 = 410,085.28 : x
  2. Step 2: Convert to fraction form
    301,077/410,085.28 = 410,085.28/x
  3. Step 3: Cross multiply
    301,077x = 410,085.28 × 410,085.28
  4. Step 4: Simplify right side
    301,077x = 168,169,937,897.89
  5. Step 5: Solve for x
    x = 168,169,937,897.89/301,077
  6. Step 6: Final answer
    x = 558,561.22

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