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Finding the Third Proportional to 320,031 and 687,510

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Solution

The third proportional to 320,031 and 687,510 is: 1,476,950.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,031 : 687,510 = 687,510 : x
  2. Step 2: Convert to fraction form
    320,031/687,510 = 687,510/x
  3. Step 3: Cross multiply
    320,031x = 687,510 × 687,510
  4. Step 4: Simplify right side
    320,031x = 472,670,000,100
  5. Step 5: Solve for x
    x = 472,670,000,100/320,031
  6. Step 6: Final answer
    x = 1,476,950.67

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.