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Finding the Third Proportional to 289,710 and 432,883

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Solution

The third proportional to 289,710 and 432,883 is: 646,811.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,710 : 432,883 = 432,883 : x
  2. Step 2: Convert to fraction form
    289,710/432,883 = 432,883/x
  3. Step 3: Cross multiply
    289,710x = 432,883 × 432,883
  4. Step 4: Simplify right side
    289,710x = 187,387,691,689
  5. Step 5: Solve for x
    x = 187,387,691,689/289,710
  6. Step 6: Final answer
    x = 646,811.27

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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.