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Finding the Third Proportional to 312,097 and 471,426

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Solution

The third proportional to 312,097 and 471,426 is: 712,094.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,097 : 471,426 = 471,426 : x
  2. Step 2: Convert to fraction form
    312,097/471,426 = 471,426/x
  3. Step 3: Cross multiply
    312,097x = 471,426 × 471,426
  4. Step 4: Simplify right side
    312,097x = 222,242,473,476
  5. Step 5: Solve for x
    x = 222,242,473,476/312,097
  6. Step 6: Final answer
    x = 712,094.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.