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Finding the Third Proportional to 430,355 and 919,273

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Solution

The third proportional to 430,355 and 919,273 is: 1,963,641.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,355 : 919,273 = 919,273 : x
  2. Step 2: Convert to fraction form
    430,355/919,273 = 919,273/x
  3. Step 3: Cross multiply
    430,355x = 919,273 × 919,273
  4. Step 4: Simplify right side
    430,355x = 845,062,848,529
  5. Step 5: Solve for x
    x = 845,062,848,529/430,355
  6. Step 6: Final answer
    x = 1,963,641.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.