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Finding the Third Proportional to 374,114 and 559,695

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Solution

The third proportional to 374,114 and 559,695 is: 837,334.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,114 : 559,695 = 559,695 : x
  2. Step 2: Convert to fraction form
    374,114/559,695 = 559,695/x
  3. Step 3: Cross multiply
    374,114x = 559,695 × 559,695
  4. Step 4: Simplify right side
    374,114x = 313,258,493,025
  5. Step 5: Solve for x
    x = 313,258,493,025/374,114
  6. Step 6: Final answer
    x = 837,334.32

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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.