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Finding the Third Proportional to 455,325.75 and 657,814.50

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Solution

The third proportional to 455,325.75 and 657,814.50 is: 950,352.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,325.75 : 657,814.50 = 657,814.50 : x
  2. Step 2: Convert to fraction form
    455,325.75/657,814.50 = 657,814.50/x
  3. Step 3: Cross multiply
    455,325.75x = 657,814.50 × 657,814.50
  4. Step 4: Simplify right side
    455,325.75x = 432,719,916,410.25
  5. Step 5: Solve for x
    x = 432,719,916,410.25/455,325.75
  6. Step 6: Final answer
    x = 950,352.39

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.