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Finding the Third Proportional to 356,899.50 and 475,807.50

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Solution

The third proportional to 356,899.50 and 475,807.50 is: 634,332.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,899.50 : 475,807.50 = 475,807.50 : x
  2. Step 2: Convert to fraction form
    356,899.50/475,807.50 = 475,807.50/x
  3. Step 3: Cross multiply
    356,899.50x = 475,807.50 × 475,807.50
  4. Step 4: Simplify right side
    356,899.50x = 226,392,777,056.25
  5. Step 5: Solve for x
    x = 226,392,777,056.25/356,899.50
  6. Step 6: Final answer
    x = 634,332.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.