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Finding the Third Proportional to 686,280 and 990,050

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Solution

The third proportional to 686,280 and 990,050 is: 1,428,278.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,280 : 990,050 = 990,050 : x
  2. Step 2: Convert to fraction form
    686,280/990,050 = 990,050/x
  3. Step 3: Cross multiply
    686,280x = 990,050 × 990,050
  4. Step 4: Simplify right side
    686,280x = 980,199,002,500
  5. Step 5: Solve for x
    x = 980,199,002,500/686,280
  6. Step 6: Final answer
    x = 1,428,278.55

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.