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Finding the Third Proportional to 316,094 and 472,268

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Solution

The third proportional to 316,094 and 472,268 is: 705,603.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,094 : 472,268 = 472,268 : x
  2. Step 2: Convert to fraction form
    316,094/472,268 = 472,268/x
  3. Step 3: Cross multiply
    316,094x = 472,268 × 472,268
  4. Step 4: Simplify right side
    316,094x = 223,037,063,824
  5. Step 5: Solve for x
    x = 223,037,063,824/316,094
  6. Step 6: Final answer
    x = 705,603.60

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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.