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Finding the Third Proportional to 304,613 and 660,073

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Solution

The third proportional to 304,613 and 660,073 is: 1,430,327.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,613 : 660,073 = 660,073 : x
  2. Step 2: Convert to fraction form
    304,613/660,073 = 660,073/x
  3. Step 3: Cross multiply
    304,613x = 660,073 × 660,073
  4. Step 4: Simplify right side
    304,613x = 435,696,365,329
  5. Step 5: Solve for x
    x = 435,696,365,329/304,613
  6. Step 6: Final answer
    x = 1,430,327.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.