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Finding the Third Proportional to 276,392 and 570,232

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Solution

The third proportional to 276,392 and 570,232 is: 1,176,461.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,392 : 570,232 = 570,232 : x
  2. Step 2: Convert to fraction form
    276,392/570,232 = 570,232/x
  3. Step 3: Cross multiply
    276,392x = 570,232 × 570,232
  4. Step 4: Simplify right side
    276,392x = 325,164,533,824
  5. Step 5: Solve for x
    x = 325,164,533,824/276,392
  6. Step 6: Final answer
    x = 1,176,461.45

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.