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Finding the Third Proportional to 249,486 and 601,494

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Solution

The third proportional to 249,486 and 601,494 is: 1,450,161.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,486 : 601,494 = 601,494 : x
  2. Step 2: Convert to fraction form
    249,486/601,494 = 601,494/x
  3. Step 3: Cross multiply
    249,486x = 601,494 × 601,494
  4. Step 4: Simplify right side
    249,486x = 361,795,032,036
  5. Step 5: Solve for x
    x = 361,795,032,036/249,486
  6. Step 6: Final answer
    x = 1,450,161.66

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.