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Finding the Third Proportional to 328,053 and 535,677

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Solution

The third proportional to 328,053 and 535,677 is: 874,705.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,053 : 535,677 = 535,677 : x
  2. Step 2: Convert to fraction form
    328,053/535,677 = 535,677/x
  3. Step 3: Cross multiply
    328,053x = 535,677 × 535,677
  4. Step 4: Simplify right side
    328,053x = 286,949,848,329
  5. Step 5: Solve for x
    x = 286,949,848,329/328,053
  6. Step 6: Final answer
    x = 874,705.76

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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.