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Finding the Third Proportional to 249,655 and 534,302

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Solution

The third proportional to 249,655 and 534,302 is: 1,143,492.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,655 : 534,302 = 534,302 : x
  2. Step 2: Convert to fraction form
    249,655/534,302 = 534,302/x
  3. Step 3: Cross multiply
    249,655x = 534,302 × 534,302
  4. Step 4: Simplify right side
    249,655x = 285,478,627,204
  5. Step 5: Solve for x
    x = 285,478,627,204/249,655
  6. Step 6: Final answer
    x = 1,143,492.53

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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.