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Finding the Third Proportional to 306,800 and 464,952

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Solution

The third proportional to 306,800 and 464,952 is: 704,629.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,800 : 464,952 = 464,952 : x
  2. Step 2: Convert to fraction form
    306,800/464,952 = 464,952/x
  3. Step 3: Cross multiply
    306,800x = 464,952 × 464,952
  4. Step 4: Simplify right side
    306,800x = 216,180,362,304
  5. Step 5: Solve for x
    x = 216,180,362,304/306,800
  6. Step 6: Final answer
    x = 704,629.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.