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Finding the Third Proportional to 276,465 and 602,097

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Solution

The third proportional to 276,465 and 602,097 is: 1,311,271.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,465 : 602,097 = 602,097 : x
  2. Step 2: Convert to fraction form
    276,465/602,097 = 602,097/x
  3. Step 3: Cross multiply
    276,465x = 602,097 × 602,097
  4. Step 4: Simplify right side
    276,465x = 362,520,797,409
  5. Step 5: Solve for x
    x = 362,520,797,409/276,465
  6. Step 6: Final answer
    x = 1,311,271.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.