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Finding the Third Proportional to 254,368 and 552,476

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Solution

The third proportional to 254,368 and 552,476 is: 1,199,953.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,368 : 552,476 = 552,476 : x
  2. Step 2: Convert to fraction form
    254,368/552,476 = 552,476/x
  3. Step 3: Cross multiply
    254,368x = 552,476 × 552,476
  4. Step 4: Simplify right side
    254,368x = 305,229,730,576
  5. Step 5: Solve for x
    x = 305,229,730,576/254,368
  6. Step 6: Final answer
    x = 1,199,953.34

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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.