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Finding the Third Proportional to 254,309 and 552,316

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Solution

The third proportional to 254,309 and 552,316 is: 1,199,536.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,309 : 552,316 = 552,316 : x
  2. Step 2: Convert to fraction form
    254,309/552,316 = 552,316/x
  3. Step 3: Cross multiply
    254,309x = 552,316 × 552,316
  4. Step 4: Simplify right side
    254,309x = 305,052,963,856
  5. Step 5: Solve for x
    x = 305,052,963,856/254,309
  6. Step 6: Final answer
    x = 1,199,536.64

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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.