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Finding the Third Proportional to 331,247 and 714,952

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Solution

The third proportional to 331,247 and 714,952 is: 1,543,127.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,247 : 714,952 = 714,952 : x
  2. Step 2: Convert to fraction form
    331,247/714,952 = 714,952/x
  3. Step 3: Cross multiply
    331,247x = 714,952 × 714,952
  4. Step 4: Simplify right side
    331,247x = 511,156,362,304
  5. Step 5: Solve for x
    x = 511,156,362,304/331,247
  6. Step 6: Final answer
    x = 1,543,127.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.