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Finding the Third Proportional to 528,576 and 753,498

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Solution

The third proportional to 528,576 and 753,498 is: 1,074,129.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,576 : 753,498 = 753,498 : x
  2. Step 2: Convert to fraction form
    528,576/753,498 = 753,498/x
  3. Step 3: Cross multiply
    528,576x = 753,498 × 753,498
  4. Step 4: Simplify right side
    528,576x = 567,759,236,004
  5. Step 5: Solve for x
    x = 567,759,236,004/528,576
  6. Step 6: Final answer
    x = 1,074,129.81

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.