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Finding the Third Proportional to 254,051.16 and 552,389.06

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Solution

The third proportional to 254,051.16 and 552,389.06 is: 1,201,071.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,051.16 : 552,389.06 = 552,389.06 : x
  2. Step 2: Convert to fraction form
    254,051.16/552,389.06 = 552,389.06/x
  3. Step 3: Cross multiply
    254,051.16x = 552,389.06 × 552,389.06
  4. Step 4: Simplify right side
    254,051.16x = 305,133,676,369.63
  5. Step 5: Solve for x
    x = 305,133,676,369.63/254,051.16
  6. Step 6: Final answer
    x = 1,201,071.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.