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Finding the Third Proportional to 249,302 and 533,578

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Solution

The third proportional to 249,302 and 533,578 is: 1,142,010.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,302 : 533,578 = 533,578 : x
  2. Step 2: Convert to fraction form
    249,302/533,578 = 533,578/x
  3. Step 3: Cross multiply
    249,302x = 533,578 × 533,578
  4. Step 4: Simplify right side
    249,302x = 284,705,482,084
  5. Step 5: Solve for x
    x = 284,705,482,084/249,302
  6. Step 6: Final answer
    x = 1,142,010.42

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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.