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Finding the Third Proportional to 297,022.50 and 425,637

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Solution

The third proportional to 297,022.50 and 425,637 is: 609,943.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,022.50 : 425,637 = 425,637 : x
  2. Step 2: Convert to fraction form
    297,022.50/425,637 = 425,637/x
  3. Step 3: Cross multiply
    297,022.50x = 425,637 × 425,637
  4. Step 4: Simplify right side
    297,022.50x = 181,166,855,769
  5. Step 5: Solve for x
    x = 181,166,855,769/297,022.50
  6. Step 6: Final answer
    x = 609,943.21

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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.