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Finding the Third Proportional to 258,211.13 and 559,301.63

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Solution

The third proportional to 258,211.13 and 559,301.63 is: 1,211,482.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,211.13 : 559,301.63 = 559,301.63 : x
  2. Step 2: Convert to fraction form
    258,211.13/559,301.63 = 559,301.63/x
  3. Step 3: Cross multiply
    258,211.13x = 559,301.63 × 559,301.63
  4. Step 4: Simplify right side
    258,211.13x = 312,818,307,727.64
  5. Step 5: Solve for x
    x = 312,818,307,727.64/258,211.13
  6. Step 6: Final answer
    x = 1,211,482.69

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.