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Finding the Third Proportional to 283,669 and 607,476

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Solution

The third proportional to 283,669 and 607,476 is: 1,300,907.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,669 : 607,476 = 607,476 : x
  2. Step 2: Convert to fraction form
    283,669/607,476 = 607,476/x
  3. Step 3: Cross multiply
    283,669x = 607,476 × 607,476
  4. Step 4: Simplify right side
    283,669x = 369,027,090,576
  5. Step 5: Solve for x
    x = 369,027,090,576/283,669
  6. Step 6: Final answer
    x = 1,300,907.36

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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.