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Finding the Third Proportional to 426,337 and 615,934

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Solution

The third proportional to 426,337 and 615,934 is: 889,846.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,337 : 615,934 = 615,934 : x
  2. Step 2: Convert to fraction form
    426,337/615,934 = 615,934/x
  3. Step 3: Cross multiply
    426,337x = 615,934 × 615,934
  4. Step 4: Simplify right side
    426,337x = 379,374,692,356
  5. Step 5: Solve for x
    x = 379,374,692,356/426,337
  6. Step 6: Final answer
    x = 889,846.98

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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.