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Finding the Third Proportional to 281,277.56 and 606,534.75

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Solution

The third proportional to 281,277.56 and 606,534.75 is: 1,307,905.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,277.56 : 606,534.75 = 606,534.75 : x
  2. Step 2: Convert to fraction form
    281,277.56/606,534.75 = 606,534.75/x
  3. Step 3: Cross multiply
    281,277.56x = 606,534.75 × 606,534.75
  4. Step 4: Simplify right side
    281,277.56x = 367,884,402,957.56
  5. Step 5: Solve for x
    x = 367,884,402,957.56/281,277.56
  6. Step 6: Final answer
    x = 1,307,905.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.