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Finding the Third Proportional to 343,114 and 756,032

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Solution

The third proportional to 343,114 and 756,032 is: 1,665,873.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,114 : 756,032 = 756,032 : x
  2. Step 2: Convert to fraction form
    343,114/756,032 = 756,032/x
  3. Step 3: Cross multiply
    343,114x = 756,032 × 756,032
  4. Step 4: Simplify right side
    343,114x = 571,584,385,024
  5. Step 5: Solve for x
    x = 571,584,385,024/343,114
  6. Step 6: Final answer
    x = 1,665,873.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.