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Finding the Third Proportional to 350,978 and 513,304

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Solution

The third proportional to 350,978 and 513,304 is: 750,705.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,978 : 513,304 = 513,304 : x
  2. Step 2: Convert to fraction form
    350,978/513,304 = 513,304/x
  3. Step 3: Cross multiply
    350,978x = 513,304 × 513,304
  4. Step 4: Simplify right side
    350,978x = 263,480,996,416
  5. Step 5: Solve for x
    x = 263,480,996,416/350,978
  6. Step 6: Final answer
    x = 750,705.16

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.