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Finding the Third Proportional to 367,054 and 812,718

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Solution

The third proportional to 367,054 and 812,718 is: 1,799,491.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,054 : 812,718 = 812,718 : x
  2. Step 2: Convert to fraction form
    367,054/812,718 = 812,718/x
  3. Step 3: Cross multiply
    367,054x = 812,718 × 812,718
  4. Step 4: Simplify right side
    367,054x = 660,510,547,524
  5. Step 5: Solve for x
    x = 660,510,547,524/367,054
  6. Step 6: Final answer
    x = 1,799,491.48

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.