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Finding the Third Proportional to 415,980 and 594,446

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Solution

The third proportional to 415,980 and 594,446 is: 849,478.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,980 : 594,446 = 594,446 : x
  2. Step 2: Convert to fraction form
    415,980/594,446 = 594,446/x
  3. Step 3: Cross multiply
    415,980x = 594,446 × 594,446
  4. Step 4: Simplify right side
    415,980x = 353,366,046,916
  5. Step 5: Solve for x
    x = 353,366,046,916/415,980
  6. Step 6: Final answer
    x = 849,478.45

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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.