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Finding the Third Proportional to 235,482.19 and 514,977.75

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Solution

The third proportional to 235,482.19 and 514,977.75 is: 1,126,208.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,482.19 : 514,977.75 = 514,977.75 : x
  2. Step 2: Convert to fraction form
    235,482.19/514,977.75 = 514,977.75/x
  3. Step 3: Cross multiply
    235,482.19x = 514,977.75 × 514,977.75
  4. Step 4: Simplify right side
    235,482.19x = 265,202,082,995.06
  5. Step 5: Solve for x
    x = 265,202,082,995.06/235,482.19
  6. Step 6: Final answer
    x = 1,126,208.68

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.