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Finding the Third Proportional to 256,718.63 and 572,465.44

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Solution

The third proportional to 256,718.63 and 572,465.44 is: 1,276,559.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,718.63 : 572,465.44 = 572,465.44 : x
  2. Step 2: Convert to fraction form
    256,718.63/572,465.44 = 572,465.44/x
  3. Step 3: Cross multiply
    256,718.63x = 572,465.44 × 572,465.44
  4. Step 4: Simplify right side
    256,718.63x = 327,716,677,132.07
  5. Step 5: Solve for x
    x = 327,716,677,132.07/256,718.63
  6. Step 6: Final answer
    x = 1,276,559.80

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