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Finding the Third Proportional to 283,671 and 607,480

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Solution

The third proportional to 283,671 and 607,480 is: 1,300,915.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,671 : 607,480 = 607,480 : x
  2. Step 2: Convert to fraction form
    283,671/607,480 = 607,480/x
  3. Step 3: Cross multiply
    283,671x = 607,480 × 607,480
  4. Step 4: Simplify right side
    283,671x = 369,031,950,400
  5. Step 5: Solve for x
    x = 369,031,950,400/283,671
  6. Step 6: Final answer
    x = 1,300,915.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.