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Finding the Third Proportional to 342,336 and 695,040

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Solution

The third proportional to 342,336 and 695,040 is: 1,411,130.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,336 : 695,040 = 695,040 : x
  2. Step 2: Convert to fraction form
    342,336/695,040 = 695,040/x
  3. Step 3: Cross multiply
    342,336x = 695,040 × 695,040
  4. Step 4: Simplify right side
    342,336x = 483,080,601,600
  5. Step 5: Solve for x
    x = 483,080,601,600/342,336
  6. Step 6: Final answer
    x = 1,411,130.01

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.