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Finding the Third Proportional to 249,336 and 534,393

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Solution

The third proportional to 249,336 and 534,393 is: 1,145,345.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,336 : 534,393 = 534,393 : x
  2. Step 2: Convert to fraction form
    249,336/534,393 = 534,393/x
  3. Step 3: Cross multiply
    249,336x = 534,393 × 534,393
  4. Step 4: Simplify right side
    249,336x = 285,575,878,449
  5. Step 5: Solve for x
    x = 285,575,878,449/249,336
  6. Step 6: Final answer
    x = 1,145,345.55

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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.