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Finding the Third Proportional to 565,123 and 848,948

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Solution

The third proportional to 565,123 and 848,948 is: 1,275,320.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,123 : 848,948 = 848,948 : x
  2. Step 2: Convert to fraction form
    565,123/848,948 = 848,948/x
  3. Step 3: Cross multiply
    565,123x = 848,948 × 848,948
  4. Step 4: Simplify right side
    565,123x = 720,712,706,704
  5. Step 5: Solve for x
    x = 720,712,706,704/565,123
  6. Step 6: Final answer
    x = 1,275,320.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.