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Finding the Third Proportional to 249,899 and 544,168

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Solution

The third proportional to 249,899 and 544,168 is: 1,184,953.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,899 : 544,168 = 544,168 : x
  2. Step 2: Convert to fraction form
    249,899/544,168 = 544,168/x
  3. Step 3: Cross multiply
    249,899x = 544,168 × 544,168
  4. Step 4: Simplify right side
    249,899x = 296,118,812,224
  5. Step 5: Solve for x
    x = 296,118,812,224/249,899
  6. Step 6: Final answer
    x = 1,184,953.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.