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Finding the Third Proportional to 306,970 and 664,382

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Solution

The third proportional to 306,970 and 664,382 is: 1,437,936.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,970 : 664,382 = 664,382 : x
  2. Step 2: Convert to fraction form
    306,970/664,382 = 664,382/x
  3. Step 3: Cross multiply
    306,970x = 664,382 × 664,382
  4. Step 4: Simplify right side
    306,970x = 441,403,441,924
  5. Step 5: Solve for x
    x = 441,403,441,924/306,970
  6. Step 6: Final answer
    x = 1,437,936.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.