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Finding the Third Proportional to 275,026.50 and 425,490

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Solution

The third proportional to 275,026.50 and 425,490 is: 658,270.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,026.50 : 425,490 = 425,490 : x
  2. Step 2: Convert to fraction form
    275,026.50/425,490 = 425,490/x
  3. Step 3: Cross multiply
    275,026.50x = 425,490 × 425,490
  4. Step 4: Simplify right side
    275,026.50x = 181,041,740,100
  5. Step 5: Solve for x
    x = 181,041,740,100/275,026.50
  6. Step 6: Final answer
    x = 658,270.17

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.