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Finding the Third Proportional to 304,010 and 665,154

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Solution

The third proportional to 304,010 and 665,154 is: 1,455,313.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,010 : 665,154 = 665,154 : x
  2. Step 2: Convert to fraction form
    304,010/665,154 = 665,154/x
  3. Step 3: Cross multiply
    304,010x = 665,154 × 665,154
  4. Step 4: Simplify right side
    304,010x = 442,429,843,716
  5. Step 5: Solve for x
    x = 442,429,843,716/304,010
  6. Step 6: Final answer
    x = 1,455,313.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.