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Finding the Third Proportional to 232,944.75 and 499,109.63

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Solution

The third proportional to 232,944.75 and 499,109.63 is: 1,069,397.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,944.75 : 499,109.63 = 499,109.63 : x
  2. Step 2: Convert to fraction form
    232,944.75/499,109.63 = 499,109.63/x
  3. Step 3: Cross multiply
    232,944.75x = 499,109.63 × 499,109.63
  4. Step 4: Simplify right side
    232,944.75x = 249,110,417,767.64
  5. Step 5: Solve for x
    x = 249,110,417,767.64/232,944.75
  6. Step 6: Final answer
    x = 1,069,397.00

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.