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Finding the Third Proportional to 314,575 and 439,846

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Solution

The third proportional to 314,575 and 439,846 is: 615,002.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,575 : 439,846 = 439,846 : x
  2. Step 2: Convert to fraction form
    314,575/439,846 = 439,846/x
  3. Step 3: Cross multiply
    314,575x = 439,846 × 439,846
  4. Step 4: Simplify right side
    314,575x = 193,464,503,716
  5. Step 5: Solve for x
    x = 193,464,503,716/314,575
  6. Step 6: Final answer
    x = 615,002.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.