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Finding the Third Proportional to 553,619 and 830,429

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Solution

The third proportional to 553,619 and 830,429 is: 1,245,644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,619 : 830,429 = 830,429 : x
  2. Step 2: Convert to fraction form
    553,619/830,429 = 830,429/x
  3. Step 3: Cross multiply
    553,619x = 830,429 × 830,429
  4. Step 4: Simplify right side
    553,619x = 689,612,324,041
  5. Step 5: Solve for x
    x = 689,612,324,041/553,619
  6. Step 6: Final answer
    x = 1,245,644.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.