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Finding the Third Proportional to 411,232 and 613,434

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Solution

The third proportional to 411,232 and 613,434 is: 915,058.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,232 : 613,434 = 613,434 : x
  2. Step 2: Convert to fraction form
    411,232/613,434 = 613,434/x
  3. Step 3: Cross multiply
    411,232x = 613,434 × 613,434
  4. Step 4: Simplify right side
    411,232x = 376,301,272,356
  5. Step 5: Solve for x
    x = 376,301,272,356/411,232
  6. Step 6: Final answer
    x = 915,058.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.