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Finding the Third Proportional to 498,974 and 714,900

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Solution

The third proportional to 498,974 and 714,900 is: 1,024,265.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,974 : 714,900 = 714,900 : x
  2. Step 2: Convert to fraction form
    498,974/714,900 = 714,900/x
  3. Step 3: Cross multiply
    498,974x = 714,900 × 714,900
  4. Step 4: Simplify right side
    498,974x = 511,082,010,000
  5. Step 5: Solve for x
    x = 511,082,010,000/498,974
  6. Step 6: Final answer
    x = 1,024,265.81

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.