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Finding the Third Proportional to 352,056 and 830,260

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Solution

The third proportional to 352,056 and 830,260 is: 1,958,017.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,056 : 830,260 = 830,260 : x
  2. Step 2: Convert to fraction form
    352,056/830,260 = 830,260/x
  3. Step 3: Cross multiply
    352,056x = 830,260 × 830,260
  4. Step 4: Simplify right side
    352,056x = 689,331,667,600
  5. Step 5: Solve for x
    x = 689,331,667,600/352,056
  6. Step 6: Final answer
    x = 1,958,017.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.