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Finding the Third Proportional to 306,202 and 476,070

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Solution

The third proportional to 306,202 and 476,070 is: 740,173.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,202 : 476,070 = 476,070 : x
  2. Step 2: Convert to fraction form
    306,202/476,070 = 476,070/x
  3. Step 3: Cross multiply
    306,202x = 476,070 × 476,070
  4. Step 4: Simplify right side
    306,202x = 226,642,644,900
  5. Step 5: Solve for x
    x = 226,642,644,900/306,202
  6. Step 6: Final answer
    x = 740,173.63

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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.