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Finding the Third Proportional to 406,522 and 603,883

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Solution

The third proportional to 406,522 and 603,883 is: 897,060.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,522 : 603,883 = 603,883 : x
  2. Step 2: Convert to fraction form
    406,522/603,883 = 603,883/x
  3. Step 3: Cross multiply
    406,522x = 603,883 × 603,883
  4. Step 4: Simplify right side
    406,522x = 364,674,677,689
  5. Step 5: Solve for x
    x = 364,674,677,689/406,522
  6. Step 6: Final answer
    x = 897,060.13

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Why These Related Problems?

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