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Finding the Third Proportional to 244,300 and 525,536

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Solution

The third proportional to 244,300 and 525,536 is: 1,130,528.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,300 : 525,536 = 525,536 : x
  2. Step 2: Convert to fraction form
    244,300/525,536 = 525,536/x
  3. Step 3: Cross multiply
    244,300x = 525,536 × 525,536
  4. Step 4: Simplify right side
    244,300x = 276,188,087,296
  5. Step 5: Solve for x
    x = 276,188,087,296/244,300
  6. Step 6: Final answer
    x = 1,130,528.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.