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Finding the Third Proportional to 472,903.50 and 663,579

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Solution

The third proportional to 472,903.50 and 663,579 is: 931,135.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,903.50 : 663,579 = 663,579 : x
  2. Step 2: Convert to fraction form
    472,903.50/663,579 = 663,579/x
  3. Step 3: Cross multiply
    472,903.50x = 663,579 × 663,579
  4. Step 4: Simplify right side
    472,903.50x = 440,337,089,241
  5. Step 5: Solve for x
    x = 440,337,089,241/472,903.50
  6. Step 6: Final answer
    x = 931,135.19

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.