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Finding the Third Proportional to 344,780 and 730,608

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Solution

The third proportional to 344,780 and 730,608 is: 1,548,199.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,780 : 730,608 = 730,608 : x
  2. Step 2: Convert to fraction form
    344,780/730,608 = 730,608/x
  3. Step 3: Cross multiply
    344,780x = 730,608 × 730,608
  4. Step 4: Simplify right side
    344,780x = 533,788,049,664
  5. Step 5: Solve for x
    x = 533,788,049,664/344,780
  6. Step 6: Final answer
    x = 1,548,199.00

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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.