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Finding the Third Proportional to 346,032 and 511,029

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Solution

The third proportional to 346,032 and 511,029 is: 754,700.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,032 : 511,029 = 511,029 : x
  2. Step 2: Convert to fraction form
    346,032/511,029 = 511,029/x
  3. Step 3: Cross multiply
    346,032x = 511,029 × 511,029
  4. Step 4: Simplify right side
    346,032x = 261,150,638,841
  5. Step 5: Solve for x
    x = 261,150,638,841/346,032
  6. Step 6: Final answer
    x = 754,700.83

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.