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Finding the Third Proportional to 259,280 and 559,024

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Solution

The third proportional to 259,280 and 559,024 is: 1,205,290.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,280 : 559,024 = 559,024 : x
  2. Step 2: Convert to fraction form
    259,280/559,024 = 559,024/x
  3. Step 3: Cross multiply
    259,280x = 559,024 × 559,024
  4. Step 4: Simplify right side
    259,280x = 312,507,832,576
  5. Step 5: Solve for x
    x = 312,507,832,576/259,280
  6. Step 6: Final answer
    x = 1,205,290.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.