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Finding the Third Proportional to 256,392 and 398,030.63

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Solution

The third proportional to 256,392 and 398,030.63 is: 617,914.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,392 : 398,030.63 = 398,030.63 : x
  2. Step 2: Convert to fraction form
    256,392/398,030.63 = 398,030.63/x
  3. Step 3: Cross multiply
    256,392x = 398,030.63 × 398,030.63
  4. Step 4: Simplify right side
    256,392x = 158,428,378,437.89
  5. Step 5: Solve for x
    x = 158,428,378,437.89/256,392
  6. Step 6: Final answer
    x = 617,914.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.