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Finding the Third Proportional to 369,773 and 528,415

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Solution

The third proportional to 369,773 and 528,415 is: 755,118.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,773 : 528,415 = 528,415 : x
  2. Step 2: Convert to fraction form
    369,773/528,415 = 528,415/x
  3. Step 3: Cross multiply
    369,773x = 528,415 × 528,415
  4. Step 4: Simplify right side
    369,773x = 279,222,412,225
  5. Step 5: Solve for x
    x = 279,222,412,225/369,773
  6. Step 6: Final answer
    x = 755,118.44

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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.