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Finding the Third Proportional to 249,416 and 603,812

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Solution

The third proportional to 249,416 and 603,812 is: 1,461,770.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,416 : 603,812 = 603,812 : x
  2. Step 2: Convert to fraction form
    249,416/603,812 = 603,812/x
  3. Step 3: Cross multiply
    249,416x = 603,812 × 603,812
  4. Step 4: Simplify right side
    249,416x = 364,588,931,344
  5. Step 5: Solve for x
    x = 364,588,931,344/249,416
  6. Step 6: Final answer
    x = 1,461,770.42

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.