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Finding the Third Proportional to 258,726.50 and 556,798

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Solution

The third proportional to 258,726.50 and 556,798 is: 1,198,269.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,726.50 : 556,798 = 556,798 : x
  2. Step 2: Convert to fraction form
    258,726.50/556,798 = 556,798/x
  3. Step 3: Cross multiply
    258,726.50x = 556,798 × 556,798
  4. Step 4: Simplify right side
    258,726.50x = 310,024,012,804
  5. Step 5: Solve for x
    x = 310,024,012,804/258,726.50
  6. Step 6: Final answer
    x = 1,198,269.26

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.