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Finding the Third Proportional to 425,324 and 577,884

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Solution

The third proportional to 425,324 and 577,884 is: 785,165.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,324 : 577,884 = 577,884 : x
  2. Step 2: Convert to fraction form
    425,324/577,884 = 577,884/x
  3. Step 3: Cross multiply
    425,324x = 577,884 × 577,884
  4. Step 4: Simplify right side
    425,324x = 333,949,917,456
  5. Step 5: Solve for x
    x = 333,949,917,456/425,324
  6. Step 6: Final answer
    x = 785,165.94

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.