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Finding the Third Proportional to 249,243 and 600,900

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Solution

The third proportional to 249,243 and 600,900 is: 1,448,709.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,243 : 600,900 = 600,900 : x
  2. Step 2: Convert to fraction form
    249,243/600,900 = 600,900/x
  3. Step 3: Cross multiply
    249,243x = 600,900 × 600,900
  4. Step 4: Simplify right side
    249,243x = 361,080,810,000
  5. Step 5: Solve for x
    x = 361,080,810,000/249,243
  6. Step 6: Final answer
    x = 1,448,709.93

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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.