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Finding the Third Proportional to 319,091 and 472,332

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Solution

The third proportional to 319,091 and 472,332 is: 699,165.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,091 : 472,332 = 472,332 : x
  2. Step 2: Convert to fraction form
    319,091/472,332 = 472,332/x
  3. Step 3: Cross multiply
    319,091x = 472,332 × 472,332
  4. Step 4: Simplify right side
    319,091x = 223,097,518,224
  5. Step 5: Solve for x
    x = 223,097,518,224/319,091
  6. Step 6: Final answer
    x = 699,165.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.