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Finding the Third Proportional to 426,339 and 615,937

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Solution

The third proportional to 426,339 and 615,937 is: 889,851.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,339 : 615,937 = 615,937 : x
  2. Step 2: Convert to fraction form
    426,339/615,937 = 615,937/x
  3. Step 3: Cross multiply
    426,339x = 615,937 × 615,937
  4. Step 4: Simplify right side
    426,339x = 379,378,387,969
  5. Step 5: Solve for x
    x = 379,378,387,969/426,339
  6. Step 6: Final answer
    x = 889,851.47

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.