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Finding the Third Proportional to 328,107 and 469,192.50

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Solution

The third proportional to 328,107 and 469,192.50 is: 670,944.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,107 : 469,192.50 = 469,192.50 : x
  2. Step 2: Convert to fraction form
    328,107/469,192.50 = 469,192.50/x
  3. Step 3: Cross multiply
    328,107x = 469,192.50 × 469,192.50
  4. Step 4: Simplify right side
    328,107x = 220,141,602,056.25
  5. Step 5: Solve for x
    x = 220,141,602,056.25/328,107
  6. Step 6: Final answer
    x = 670,944.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.