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Finding the Third Proportional to 233,572 and 512,360

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Solution

The third proportional to 233,572 and 512,360 is: 1,123,905.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,572 : 512,360 = 512,360 : x
  2. Step 2: Convert to fraction form
    233,572/512,360 = 512,360/x
  3. Step 3: Cross multiply
    233,572x = 512,360 × 512,360
  4. Step 4: Simplify right side
    233,572x = 262,512,769,600
  5. Step 5: Solve for x
    x = 262,512,769,600/233,572
  6. Step 6: Final answer
    x = 1,123,905.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.