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Finding the Third Proportional to 346,040 and 754,288

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Solution

The third proportional to 346,040 and 754,288 is: 1,644,175.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,040 : 754,288 = 754,288 : x
  2. Step 2: Convert to fraction form
    346,040/754,288 = 754,288/x
  3. Step 3: Cross multiply
    346,040x = 754,288 × 754,288
  4. Step 4: Simplify right side
    346,040x = 568,950,386,944
  5. Step 5: Solve for x
    x = 568,950,386,944/346,040
  6. Step 6: Final answer
    x = 1,644,175.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.