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Finding the Third Proportional to 265,988 and 389,073

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Solution

The third proportional to 265,988 and 389,073 is: 569,115.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,988 : 389,073 = 389,073 : x
  2. Step 2: Convert to fraction form
    265,988/389,073 = 389,073/x
  3. Step 3: Cross multiply
    265,988x = 389,073 × 389,073
  4. Step 4: Simplify right side
    265,988x = 151,377,799,329
  5. Step 5: Solve for x
    x = 151,377,799,329/265,988
  6. Step 6: Final answer
    x = 569,115.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.