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Finding the Third Proportional to 256,753.13 and 375,620.63

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Solution

The third proportional to 256,753.13 and 375,620.63 is: 549,519.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,753.13 : 375,620.63 = 375,620.63 : x
  2. Step 2: Convert to fraction form
    256,753.13/375,620.63 = 375,620.63/x
  3. Step 3: Cross multiply
    256,753.13x = 375,620.63 × 375,620.63
  4. Step 4: Simplify right side
    256,753.13x = 141,090,853,925.39
  5. Step 5: Solve for x
    x = 141,090,853,925.39/256,753.13
  6. Step 6: Final answer
    x = 549,519.52

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.