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Finding the Third Proportional to 307,206 and 476,984

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Solution

The third proportional to 307,206 and 476,984 is: 740,590.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,206 : 476,984 = 476,984 : x
  2. Step 2: Convert to fraction form
    307,206/476,984 = 476,984/x
  3. Step 3: Cross multiply
    307,206x = 476,984 × 476,984
  4. Step 4: Simplify right side
    307,206x = 227,513,736,256
  5. Step 5: Solve for x
    x = 227,513,736,256/307,206
  6. Step 6: Final answer
    x = 740,590.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.