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Finding the Third Proportional to 415,981 and 594,445

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Solution

The third proportional to 415,981 and 594,445 is: 849,473.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,981 : 594,445 = 594,445 : x
  2. Step 2: Convert to fraction form
    415,981/594,445 = 594,445/x
  3. Step 3: Cross multiply
    415,981x = 594,445 × 594,445
  4. Step 4: Simplify right side
    415,981x = 353,364,858,025
  5. Step 5: Solve for x
    x = 353,364,858,025/415,981
  6. Step 6: Final answer
    x = 849,473.55

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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.