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Finding the Third Proportional to 256,722.38 and 572,473.63

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Solution

The third proportional to 256,722.38 and 572,473.63 is: 1,276,577.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,722.38 : 572,473.63 = 572,473.63 : x
  2. Step 2: Convert to fraction form
    256,722.38/572,473.63 = 572,473.63/x
  3. Step 3: Cross multiply
    256,722.38x = 572,473.63 × 572,473.63
  4. Step 4: Simplify right side
    256,722.38x = 327,726,051,320.64
  5. Step 5: Solve for x
    x = 327,726,051,320.64/256,722.38
  6. Step 6: Final answer
    x = 1,276,577.67

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.