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Finding the Third Proportional to 294,970 and 643,519

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Solution

The third proportional to 294,970 and 643,519 is: 1,403,928.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,970 : 643,519 = 643,519 : x
  2. Step 2: Convert to fraction form
    294,970/643,519 = 643,519/x
  3. Step 3: Cross multiply
    294,970x = 643,519 × 643,519
  4. Step 4: Simplify right side
    294,970x = 414,116,703,361
  5. Step 5: Solve for x
    x = 414,116,703,361/294,970
  6. Step 6: Final answer
    x = 1,403,928.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.