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Finding the Third Proportional to 413 and 607

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Solution

The third proportional to 413 and 607 is: 892.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    413 : 607 = 607 : x
  2. Step 2: Convert to fraction form
    413/607 = 607/x
  3. Step 3: Cross multiply
    413x = 607 × 607
  4. Step 4: Simplify right side
    413x = 368,449
  5. Step 5: Solve for x
    x = 368,449/413
  6. Step 6: Final answer
    x = 892.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.