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Finding the Third Proportional to 214,580 and 456,880

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Solution

The third proportional to 214,580 and 456,880 is: 972,780.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,580 : 456,880 = 456,880 : x
  2. Step 2: Convert to fraction form
    214,580/456,880 = 456,880/x
  3. Step 3: Cross multiply
    214,580x = 456,880 × 456,880
  4. Step 4: Simplify right side
    214,580x = 208,739,334,400
  5. Step 5: Solve for x
    x = 208,739,334,400/214,580
  6. Step 6: Final answer
    x = 972,780.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.