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Finding the Third Proportional to 430,848 and 920,344

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Solution

The third proportional to 430,848 and 920,344 is: 1,965,967.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,848 : 920,344 = 920,344 : x
  2. Step 2: Convert to fraction form
    430,848/920,344 = 920,344/x
  3. Step 3: Cross multiply
    430,848x = 920,344 × 920,344
  4. Step 4: Simplify right side
    430,848x = 847,033,078,336
  5. Step 5: Solve for x
    x = 847,033,078,336/430,848
  6. Step 6: Final answer
    x = 1,965,967.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.