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Finding the Third Proportional to 254,354 and 542,476

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Solution

The third proportional to 254,354 and 542,476 is: 1,156,971.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,354 : 542,476 = 542,476 : x
  2. Step 2: Convert to fraction form
    254,354/542,476 = 542,476/x
  3. Step 3: Cross multiply
    254,354x = 542,476 × 542,476
  4. Step 4: Simplify right side
    254,354x = 294,280,210,576
  5. Step 5: Solve for x
    x = 294,280,210,576/254,354
  6. Step 6: Final answer
    x = 1,156,971.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.