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Finding the Third Proportional to 301,664 and 595,708

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Solution

The third proportional to 301,664 and 595,708 is: 1,176,368.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,664 : 595,708 = 595,708 : x
  2. Step 2: Convert to fraction form
    301,664/595,708 = 595,708/x
  3. Step 3: Cross multiply
    301,664x = 595,708 × 595,708
  4. Step 4: Simplify right side
    301,664x = 354,868,021,264
  5. Step 5: Solve for x
    x = 354,868,021,264/301,664
  6. Step 6: Final answer
    x = 1,176,368.48

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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.