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Finding the Third Proportional to 337,199.50 and 712,037

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Solution

The third proportional to 337,199.50 and 712,037 is: 1,503,551.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,199.50 : 712,037 = 712,037 : x
  2. Step 2: Convert to fraction form
    337,199.50/712,037 = 712,037/x
  3. Step 3: Cross multiply
    337,199.50x = 712,037 × 712,037
  4. Step 4: Simplify right side
    337,199.50x = 506,996,689,369
  5. Step 5: Solve for x
    x = 506,996,689,369/337,199.50
  6. Step 6: Final answer
    x = 1,503,551.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.