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Finding the Third Proportional to 346,260 and 518,014

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Solution

The third proportional to 346,260 and 518,014 is: 774,962.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,260 : 518,014 = 518,014 : x
  2. Step 2: Convert to fraction form
    346,260/518,014 = 518,014/x
  3. Step 3: Cross multiply
    346,260x = 518,014 × 518,014
  4. Step 4: Simplify right side
    346,260x = 268,338,504,196
  5. Step 5: Solve for x
    x = 268,338,504,196/346,260
  6. Step 6: Final answer
    x = 774,962.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.