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Finding the Third Proportional to 427,416 and 607,524

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Solution

The third proportional to 427,416 and 607,524 is: 863,527.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,416 : 607,524 = 607,524 : x
  2. Step 2: Convert to fraction form
    427,416/607,524 = 607,524/x
  3. Step 3: Cross multiply
    427,416x = 607,524 × 607,524
  4. Step 4: Simplify right side
    427,416x = 369,085,410,576
  5. Step 5: Solve for x
    x = 369,085,410,576/427,416
  6. Step 6: Final answer
    x = 863,527.36

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.