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Finding the Third Proportional to 249,356 and 534,433

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Solution

The third proportional to 249,356 and 534,433 is: 1,145,425.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,356 : 534,433 = 534,433 : x
  2. Step 2: Convert to fraction form
    249,356/534,433 = 534,433/x
  3. Step 3: Cross multiply
    249,356x = 534,433 × 534,433
  4. Step 4: Simplify right side
    249,356x = 285,618,631,489
  5. Step 5: Solve for x
    x = 285,618,631,489/249,356
  6. Step 6: Final answer
    x = 1,145,425.14

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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.