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Finding the Third Proportional to 432,235 and 948,545

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Solution

The third proportional to 432,235 and 948,545 is: 2,081,593.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,235 : 948,545 = 948,545 : x
  2. Step 2: Convert to fraction form
    432,235/948,545 = 948,545/x
  3. Step 3: Cross multiply
    432,235x = 948,545 × 948,545
  4. Step 4: Simplify right side
    432,235x = 899,737,617,025
  5. Step 5: Solve for x
    x = 899,737,617,025/432,235
  6. Step 6: Final answer
    x = 2,081,593.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.