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Finding the Third Proportional to 244,296 and 525,528

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Solution

The third proportional to 244,296 and 525,528 is: 1,130,512.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,296 : 525,528 = 525,528 : x
  2. Step 2: Convert to fraction form
    244,296/525,528 = 525,528/x
  3. Step 3: Cross multiply
    244,296x = 525,528 × 525,528
  4. Step 4: Simplify right side
    244,296x = 276,179,678,784
  5. Step 5: Solve for x
    x = 276,179,678,784/244,296
  6. Step 6: Final answer
    x = 1,130,512.49

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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.