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Finding the Third Proportional to 258,110 and 566,075.50

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Solution

The third proportional to 258,110 and 566,075.50 is: 1,241,491.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,110 : 566,075.50 = 566,075.50 : x
  2. Step 2: Convert to fraction form
    258,110/566,075.50 = 566,075.50/x
  3. Step 3: Cross multiply
    258,110x = 566,075.50 × 566,075.50
  4. Step 4: Simplify right side
    258,110x = 320,441,471,700.25
  5. Step 5: Solve for x
    x = 320,441,471,700.25/258,110
  6. Step 6: Final answer
    x = 1,241,491.89

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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.