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Finding the Third Proportional to 249,832 and 404,880

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Solution

The third proportional to 249,832 and 404,880 is: 656,152.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,832 : 404,880 = 404,880 : x
  2. Step 2: Convert to fraction form
    249,832/404,880 = 404,880/x
  3. Step 3: Cross multiply
    249,832x = 404,880 × 404,880
  4. Step 4: Simplify right side
    249,832x = 163,927,814,400
  5. Step 5: Solve for x
    x = 163,927,814,400/249,832
  6. Step 6: Final answer
    x = 656,152.19

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.