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Finding the Third Proportional to 372,945 and 573,576

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Solution

The third proportional to 372,945 and 573,576 is: 882,139.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,945 : 573,576 = 573,576 : x
  2. Step 2: Convert to fraction form
    372,945/573,576 = 573,576/x
  3. Step 3: Cross multiply
    372,945x = 573,576 × 573,576
  4. Step 4: Simplify right side
    372,945x = 328,989,427,776
  5. Step 5: Solve for x
    x = 328,989,427,776/372,945
  6. Step 6: Final answer
    x = 882,139.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.