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Finding the Third Proportional to 306,184 and 476,043

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Solution

The third proportional to 306,184 and 476,043 is: 740,133.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,184 : 476,043 = 476,043 : x
  2. Step 2: Convert to fraction form
    306,184/476,043 = 476,043/x
  3. Step 3: Cross multiply
    306,184x = 476,043 × 476,043
  4. Step 4: Simplify right side
    306,184x = 226,616,937,849
  5. Step 5: Solve for x
    x = 226,616,937,849/306,184
  6. Step 6: Final answer
    x = 740,133.18

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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.