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Finding the Third Proportional to 249,113 and 544,984

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Solution

The third proportional to 249,113 and 544,984 is: 1,192,260.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,113 : 544,984 = 544,984 : x
  2. Step 2: Convert to fraction form
    249,113/544,984 = 544,984/x
  3. Step 3: Cross multiply
    249,113x = 544,984 × 544,984
  4. Step 4: Simplify right side
    249,113x = 297,007,560,256
  5. Step 5: Solve for x
    x = 297,007,560,256/249,113
  6. Step 6: Final answer
    x = 1,192,260.38

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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.