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Finding the Third Proportional to 249,383 and 538,132

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Solution

The third proportional to 249,383 and 538,132 is: 1,161,210.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,383 : 538,132 = 538,132 : x
  2. Step 2: Convert to fraction form
    249,383/538,132 = 538,132/x
  3. Step 3: Cross multiply
    249,383x = 538,132 × 538,132
  4. Step 4: Simplify right side
    249,383x = 289,586,049,424
  5. Step 5: Solve for x
    x = 289,586,049,424/249,383
  6. Step 6: Final answer
    x = 1,161,210.06

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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.