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Finding the Third Proportional to 344,433 and 729,840

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Solution

The third proportional to 344,433 and 729,840 is: 1,546,502.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,433 : 729,840 = 729,840 : x
  2. Step 2: Convert to fraction form
    344,433/729,840 = 729,840/x
  3. Step 3: Cross multiply
    344,433x = 729,840 × 729,840
  4. Step 4: Simplify right side
    344,433x = 532,666,425,600
  5. Step 5: Solve for x
    x = 532,666,425,600/344,433
  6. Step 6: Final answer
    x = 1,546,502.30

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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.