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Finding the Third Proportional to 249,489 and 534,699

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Solution

The third proportional to 249,489 and 534,699 is: 1,145,954.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,489 : 534,699 = 534,699 : x
  2. Step 2: Convert to fraction form
    249,489/534,699 = 534,699/x
  3. Step 3: Cross multiply
    249,489x = 534,699 × 534,699
  4. Step 4: Simplify right side
    249,489x = 285,903,020,601
  5. Step 5: Solve for x
    x = 285,903,020,601/249,489
  6. Step 6: Final answer
    x = 1,145,954.41

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Why These Related Problems?

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