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Finding the Third Proportional to 415,402 and 594,034

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Solution

The third proportional to 415,402 and 594,034 is: 849,481.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,402 : 594,034 = 594,034 : x
  2. Step 2: Convert to fraction form
    415,402/594,034 = 594,034/x
  3. Step 3: Cross multiply
    415,402x = 594,034 × 594,034
  4. Step 4: Simplify right side
    415,402x = 352,876,393,156
  5. Step 5: Solve for x
    x = 352,876,393,156/415,402
  6. Step 6: Final answer
    x = 849,481.69

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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.