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Finding the Third Proportional to 250,440 and 375,768

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Solution

The third proportional to 250,440 and 375,768 is: 563,814.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,440 : 375,768 = 375,768 : x
  2. Step 2: Convert to fraction form
    250,440/375,768 = 375,768/x
  3. Step 3: Cross multiply
    250,440x = 375,768 × 375,768
  4. Step 4: Simplify right side
    250,440x = 141,201,589,824
  5. Step 5: Solve for x
    x = 141,201,589,824/250,440
  6. Step 6: Final answer
    x = 563,814.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.