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Finding the Third Proportional to 415,265 and 593,825

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Solution

The third proportional to 415,265 and 593,825 is: 849,164.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,265 : 593,825 = 593,825 : x
  2. Step 2: Convert to fraction form
    415,265/593,825 = 593,825/x
  3. Step 3: Cross multiply
    415,265x = 593,825 × 593,825
  4. Step 4: Simplify right side
    415,265x = 352,628,130,625
  5. Step 5: Solve for x
    x = 352,628,130,625/415,265
  6. Step 6: Final answer
    x = 849,164.10

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.