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Finding the Third Proportional to 437,976 and 944,316

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Solution

The third proportional to 437,976 and 944,316 is: 2,036,030.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,976 : 944,316 = 944,316 : x
  2. Step 2: Convert to fraction form
    437,976/944,316 = 944,316/x
  3. Step 3: Cross multiply
    437,976x = 944,316 × 944,316
  4. Step 4: Simplify right side
    437,976x = 891,732,707,856
  5. Step 5: Solve for x
    x = 891,732,707,856/437,976
  6. Step 6: Final answer
    x = 2,036,030.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.