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Finding the Third Proportional to 357,072 and 552,896

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Solution

The third proportional to 357,072 and 552,896 is: 856,113.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,072 : 552,896 = 552,896 : x
  2. Step 2: Convert to fraction form
    357,072/552,896 = 552,896/x
  3. Step 3: Cross multiply
    357,072x = 552,896 × 552,896
  4. Step 4: Simplify right side
    357,072x = 305,693,986,816
  5. Step 5: Solve for x
    x = 305,693,986,816/357,072
  6. Step 6: Final answer
    x = 856,113.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.