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Finding the Third Proportional to 310,904 and 472,434

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Solution

The third proportional to 310,904 and 472,434 is: 717,886.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,904 : 472,434 = 472,434 : x
  2. Step 2: Convert to fraction form
    310,904/472,434 = 472,434/x
  3. Step 3: Cross multiply
    310,904x = 472,434 × 472,434
  4. Step 4: Simplify right side
    310,904x = 223,193,884,356
  5. Step 5: Solve for x
    x = 223,193,884,356/310,904
  6. Step 6: Final answer
    x = 717,886.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.