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Finding the Third Proportional to 256,718 and 572,465.25

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Solution

The third proportional to 256,718 and 572,465.25 is: 1,276,562.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,718 : 572,465.25 = 572,465.25 : x
  2. Step 2: Convert to fraction form
    256,718/572,465.25 = 572,465.25/x
  3. Step 3: Cross multiply
    256,718x = 572,465.25 × 572,465.25
  4. Step 4: Simplify right side
    256,718x = 327,716,462,457.56
  5. Step 5: Solve for x
    x = 327,716,462,457.56/256,718
  6. Step 6: Final answer
    x = 1,276,562.07

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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.