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Finding the Third Proportional to 301,657 and 595,700

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Solution

The third proportional to 301,657 and 595,700 is: 1,176,364.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,657 : 595,700 = 595,700 : x
  2. Step 2: Convert to fraction form
    301,657/595,700 = 595,700/x
  3. Step 3: Cross multiply
    301,657x = 595,700 × 595,700
  4. Step 4: Simplify right side
    301,657x = 354,858,490,000
  5. Step 5: Solve for x
    x = 354,858,490,000/301,657
  6. Step 6: Final answer
    x = 1,176,364.18

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.