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Finding the Third Proportional to 273,097 and 559,316

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Solution

The third proportional to 273,097 and 559,316 is: 1,145,506.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,097 : 559,316 = 559,316 : x
  2. Step 2: Convert to fraction form
    273,097/559,316 = 559,316/x
  3. Step 3: Cross multiply
    273,097x = 559,316 × 559,316
  4. Step 4: Simplify right side
    273,097x = 312,834,387,856
  5. Step 5: Solve for x
    x = 312,834,387,856/273,097
  6. Step 6: Final answer
    x = 1,145,506.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.