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Finding the Third Proportional to 406,510 and 603,870

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Solution

The third proportional to 406,510 and 603,870 is: 897,047.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,510 : 603,870 = 603,870 : x
  2. Step 2: Convert to fraction form
    406,510/603,870 = 603,870/x
  3. Step 3: Cross multiply
    406,510x = 603,870 × 603,870
  4. Step 4: Simplify right side
    406,510x = 364,658,976,900
  5. Step 5: Solve for x
    x = 364,658,976,900/406,510
  6. Step 6: Final answer
    x = 897,047.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.