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Finding the Third Proportional to 328,056 and 535,682

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Solution

The third proportional to 328,056 and 535,682 is: 874,714.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,056 : 535,682 = 535,682 : x
  2. Step 2: Convert to fraction form
    328,056/535,682 = 535,682/x
  3. Step 3: Cross multiply
    328,056x = 535,682 × 535,682
  4. Step 4: Simplify right side
    328,056x = 286,955,205,124
  5. Step 5: Solve for x
    x = 286,955,205,124/328,056
  6. Step 6: Final answer
    x = 874,714.09

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.