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Finding the Third Proportional to 249,498 and 533,988

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Solution

The third proportional to 249,498 and 533,988 is: 1,142,867.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,498 : 533,988 = 533,988 : x
  2. Step 2: Convert to fraction form
    249,498/533,988 = 533,988/x
  3. Step 3: Cross multiply
    249,498x = 533,988 × 533,988
  4. Step 4: Simplify right side
    249,498x = 285,143,184,144
  5. Step 5: Solve for x
    x = 285,143,184,144/249,498
  6. Step 6: Final answer
    x = 1,142,867.61

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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.