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Finding the Third Proportional to 415,260 and 593,817

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Solution

The third proportional to 415,260 and 593,817 is: 849,151.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,260 : 593,817 = 593,817 : x
  2. Step 2: Convert to fraction form
    415,260/593,817 = 593,817/x
  3. Step 3: Cross multiply
    415,260x = 593,817 × 593,817
  4. Step 4: Simplify right side
    415,260x = 352,618,629,489
  5. Step 5: Solve for x
    x = 352,618,629,489/415,260
  6. Step 6: Final answer
    x = 849,151.45

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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.