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Finding the Third Proportional to 337,378.92 and 712,688.63

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Solution

The third proportional to 337,378.92 and 712,688.63 is: 1,505,503.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,378.92 : 712,688.63 = 712,688.63 : x
  2. Step 2: Convert to fraction form
    337,378.92/712,688.63 = 712,688.63/x
  3. Step 3: Cross multiply
    337,378.92x = 712,688.63 × 712,688.63
  4. Step 4: Simplify right side
    337,378.92x = 507,925,076,204.39
  5. Step 5: Solve for x
    x = 507,925,076,204.39/337,378.92
  6. Step 6: Final answer
    x = 1,505,503.29

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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.