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Finding the Third Proportional to 425,956.50 and 917,523

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Solution

The third proportional to 425,956.50 and 917,523 is: 1,976,371.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,956.50 : 917,523 = 917,523 : x
  2. Step 2: Convert to fraction form
    425,956.50/917,523 = 917,523/x
  3. Step 3: Cross multiply
    425,956.50x = 917,523 × 917,523
  4. Step 4: Simplify right side
    425,956.50x = 841,848,455,529
  5. Step 5: Solve for x
    x = 841,848,455,529/425,956.50
  6. Step 6: Final answer
    x = 1,976,371.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.