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Finding the Third Proportional to 344,604 and 730,122

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Solution

The third proportional to 344,604 and 730,122 is: 1,546,929.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,604 : 730,122 = 730,122 : x
  2. Step 2: Convert to fraction form
    344,604/730,122 = 730,122/x
  3. Step 3: Cross multiply
    344,604x = 730,122 × 730,122
  4. Step 4: Simplify right side
    344,604x = 533,078,134,884
  5. Step 5: Solve for x
    x = 533,078,134,884/344,604
  6. Step 6: Final answer
    x = 1,546,929.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.