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Finding the Third Proportional to 310,434.50 and 475,904

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Solution

The third proportional to 310,434.50 and 475,904 is: 729,572.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,434.50 : 475,904 = 475,904 : x
  2. Step 2: Convert to fraction form
    310,434.50/475,904 = 475,904/x
  3. Step 3: Cross multiply
    310,434.50x = 475,904 × 475,904
  4. Step 4: Simplify right side
    310,434.50x = 226,484,617,216
  5. Step 5: Solve for x
    x = 226,484,617,216/310,434.50
  6. Step 6: Final answer
    x = 729,572.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.