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Finding the Third Proportional to 249,238.50 and 600,894

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Solution

The third proportional to 249,238.50 and 600,894 is: 1,448,707.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,238.50 : 600,894 = 600,894 : x
  2. Step 2: Convert to fraction form
    249,238.50/600,894 = 600,894/x
  3. Step 3: Cross multiply
    249,238.50x = 600,894 × 600,894
  4. Step 4: Simplify right side
    249,238.50x = 361,073,599,236
  5. Step 5: Solve for x
    x = 361,073,599,236/249,238.50
  6. Step 6: Final answer
    x = 1,448,707.16

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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.