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Finding the Third Proportional to 369,824 and 528,462

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Solution

The third proportional to 369,824 and 528,462 is: 755,148.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,824 : 528,462 = 528,462 : x
  2. Step 2: Convert to fraction form
    369,824/528,462 = 528,462/x
  3. Step 3: Cross multiply
    369,824x = 528,462 × 528,462
  4. Step 4: Simplify right side
    369,824x = 279,272,085,444
  5. Step 5: Solve for x
    x = 279,272,085,444/369,824
  6. Step 6: Final answer
    x = 755,148.63

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