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Finding the Third Proportional to 293,370 and 440,706

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Solution

The third proportional to 293,370 and 440,706 is: 662,036.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,370 : 440,706 = 440,706 : x
  2. Step 2: Convert to fraction form
    293,370/440,706 = 440,706/x
  3. Step 3: Cross multiply
    293,370x = 440,706 × 440,706
  4. Step 4: Simplify right side
    293,370x = 194,221,778,436
  5. Step 5: Solve for x
    x = 194,221,778,436/293,370
  6. Step 6: Final answer
    x = 662,036.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.