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Finding the Third Proportional to 370,512 and 574,072

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Solution

The third proportional to 370,512 and 574,072 is: 889,468.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,512 : 574,072 = 574,072 : x
  2. Step 2: Convert to fraction form
    370,512/574,072 = 574,072/x
  3. Step 3: Cross multiply
    370,512x = 574,072 × 574,072
  4. Step 4: Simplify right side
    370,512x = 329,558,661,184
  5. Step 5: Solve for x
    x = 329,558,661,184/370,512
  6. Step 6: Final answer
    x = 889,468.25

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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.