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Finding the Third Proportional to 328,702.50 and 493,053

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Solution

The third proportional to 328,702.50 and 493,053 is: 739,578.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,702.50 : 493,053 = 493,053 : x
  2. Step 2: Convert to fraction form
    328,702.50/493,053 = 493,053/x
  3. Step 3: Cross multiply
    328,702.50x = 493,053 × 493,053
  4. Step 4: Simplify right side
    328,702.50x = 243,101,260,809
  5. Step 5: Solve for x
    x = 243,101,260,809/328,702.50
  6. Step 6: Final answer
    x = 739,578.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.