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Finding the Third Proportional to 488,216.63 and 750,879.75

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Solution

The third proportional to 488,216.63 and 750,879.75 is: 1,154,857.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,216.63 : 750,879.75 = 750,879.75 : x
  2. Step 2: Convert to fraction form
    488,216.63/750,879.75 = 750,879.75/x
  3. Step 3: Cross multiply
    488,216.63x = 750,879.75 × 750,879.75
  4. Step 4: Simplify right side
    488,216.63x = 563,820,398,960.06
  5. Step 5: Solve for x
    x = 563,820,398,960.06/488,216.63
  6. Step 6: Final answer
    x = 1,154,857.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.