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Finding the Third Proportional to 424,064 and 594,322

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Solution

The third proportional to 424,064 and 594,322 is: 832,937.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,064 : 594,322 = 594,322 : x
  2. Step 2: Convert to fraction form
    424,064/594,322 = 594,322/x
  3. Step 3: Cross multiply
    424,064x = 594,322 × 594,322
  4. Step 4: Simplify right side
    424,064x = 353,218,639,684
  5. Step 5: Solve for x
    x = 353,218,639,684/424,064
  6. Step 6: Final answer
    x = 832,937.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.