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Finding the Third Proportional to 343,008 and 735,240

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Solution

The third proportional to 343,008 and 735,240 is: 1,575,991.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,008 : 735,240 = 735,240 : x
  2. Step 2: Convert to fraction form
    343,008/735,240 = 735,240/x
  3. Step 3: Cross multiply
    343,008x = 735,240 × 735,240
  4. Step 4: Simplify right side
    343,008x = 540,577,857,600
  5. Step 5: Solve for x
    x = 540,577,857,600/343,008
  6. Step 6: Final answer
    x = 1,575,991.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.