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Finding the Third Proportional to 397,364 and 594,484

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Solution

The third proportional to 397,364 and 594,484 is: 889,389.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,364 : 594,484 = 594,484 : x
  2. Step 2: Convert to fraction form
    397,364/594,484 = 594,484/x
  3. Step 3: Cross multiply
    397,364x = 594,484 × 594,484
  4. Step 4: Simplify right side
    397,364x = 353,411,226,256
  5. Step 5: Solve for x
    x = 353,411,226,256/397,364
  6. Step 6: Final answer
    x = 889,389.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.