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Finding the Third Proportional to 436,912 and 590,294

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Solution

The third proportional to 436,912 and 590,294 is: 797,522.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,912 : 590,294 = 590,294 : x
  2. Step 2: Convert to fraction form
    436,912/590,294 = 590,294/x
  3. Step 3: Cross multiply
    436,912x = 590,294 × 590,294
  4. Step 4: Simplify right side
    436,912x = 348,447,006,436
  5. Step 5: Solve for x
    x = 348,447,006,436/436,912
  6. Step 6: Final answer
    x = 797,522.17

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.