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Finding the Third Proportional to 319,240 and 476,091

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Solution

The third proportional to 319,240 and 476,091 is: 710,007.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,240 : 476,091 = 476,091 : x
  2. Step 2: Convert to fraction form
    319,240/476,091 = 476,091/x
  3. Step 3: Cross multiply
    319,240x = 476,091 × 476,091
  4. Step 4: Simplify right side
    319,240x = 226,662,640,281
  5. Step 5: Solve for x
    x = 226,662,640,281/319,240
  6. Step 6: Final answer
    x = 710,007.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.