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Finding the Third Proportional to 300,412.50 and 643,470

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Solution

The third proportional to 300,412.50 and 643,470 is: 1,378,283.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,412.50 : 643,470 = 643,470 : x
  2. Step 2: Convert to fraction form
    300,412.50/643,470 = 643,470/x
  3. Step 3: Cross multiply
    300,412.50x = 643,470 × 643,470
  4. Step 4: Simplify right side
    300,412.50x = 414,053,640,900
  5. Step 5: Solve for x
    x = 414,053,640,900/300,412.50
  6. Step 6: Final answer
    x = 1,378,283.66

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.