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Finding the Third Proportional to 344,550 and 730,014

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Solution

The third proportional to 344,550 and 730,014 is: 1,546,714.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,550 : 730,014 = 730,014 : x
  2. Step 2: Convert to fraction form
    344,550/730,014 = 730,014/x
  3. Step 3: Cross multiply
    344,550x = 730,014 × 730,014
  4. Step 4: Simplify right side
    344,550x = 532,920,440,196
  5. Step 5: Solve for x
    x = 532,920,440,196/344,550
  6. Step 6: Final answer
    x = 1,546,714.38

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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.