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Finding the Third Proportional to 265,363 and 397,072

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Solution

The third proportional to 265,363 and 397,072 is: 594,152.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,363 : 397,072 = 397,072 : x
  2. Step 2: Convert to fraction form
    265,363/397,072 = 397,072/x
  3. Step 3: Cross multiply
    265,363x = 397,072 × 397,072
  4. Step 4: Simplify right side
    265,363x = 157,666,173,184
  5. Step 5: Solve for x
    x = 157,666,173,184/265,363
  6. Step 6: Final answer
    x = 594,152.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.