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Finding the Third Proportional to 249,014 and 373,701

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Solution

The third proportional to 249,014 and 373,701 is: 560,821.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,014 : 373,701 = 373,701 : x
  2. Step 2: Convert to fraction form
    249,014/373,701 = 373,701/x
  3. Step 3: Cross multiply
    249,014x = 373,701 × 373,701
  4. Step 4: Simplify right side
    249,014x = 139,652,437,401
  5. Step 5: Solve for x
    x = 139,652,437,401/249,014
  6. Step 6: Final answer
    x = 560,821.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.