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Finding the Third Proportional to 634,256 and 971,476

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Solution

The third proportional to 634,256 and 971,476 is: 1,487,988.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,256 : 971,476 = 971,476 : x
  2. Step 2: Convert to fraction form
    634,256/971,476 = 971,476/x
  3. Step 3: Cross multiply
    634,256x = 971,476 × 971,476
  4. Step 4: Simplify right side
    634,256x = 943,765,618,576
  5. Step 5: Solve for x
    x = 943,765,618,576/634,256
  6. Step 6: Final answer
    x = 1,487,988.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.