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Finding the Third Proportional to 486,126 and 700,282.50

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Solution

The third proportional to 486,126 and 700,282.50 is: 1,008,782.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,126 : 700,282.50 = 700,282.50 : x
  2. Step 2: Convert to fraction form
    486,126/700,282.50 = 700,282.50/x
  3. Step 3: Cross multiply
    486,126x = 700,282.50 × 700,282.50
  4. Step 4: Simplify right side
    486,126x = 490,395,579,806.25
  5. Step 5: Solve for x
    x = 490,395,579,806.25/486,126
  6. Step 6: Final answer
    x = 1,008,782.87

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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.