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Finding the Third Proportional to 297,957 and 425,635

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Solution

The third proportional to 297,957 and 425,635 is: 608,024.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,957 : 425,635 = 425,635 : x
  2. Step 2: Convert to fraction form
    297,957/425,635 = 425,635/x
  3. Step 3: Cross multiply
    297,957x = 425,635 × 425,635
  4. Step 4: Simplify right side
    297,957x = 181,165,153,225
  5. Step 5: Solve for x
    x = 181,165,153,225/297,957
  6. Step 6: Final answer
    x = 608,024.49

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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.