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Finding the Third Proportional to 249,874 and 548,362

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Solution

The third proportional to 249,874 and 548,362 is: 1,203,410.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,874 : 548,362 = 548,362 : x
  2. Step 2: Convert to fraction form
    249,874/548,362 = 548,362/x
  3. Step 3: Cross multiply
    249,874x = 548,362 × 548,362
  4. Step 4: Simplify right side
    249,874x = 300,700,883,044
  5. Step 5: Solve for x
    x = 300,700,883,044/249,874
  6. Step 6: Final answer
    x = 1,203,410.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.