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Finding the Third Proportional to 291,263 and 602,747

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Solution

The third proportional to 291,263 and 602,747 is: 1,247,339.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,263 : 602,747 = 602,747 : x
  2. Step 2: Convert to fraction form
    291,263/602,747 = 602,747/x
  3. Step 3: Cross multiply
    291,263x = 602,747 × 602,747
  4. Step 4: Simplify right side
    291,263x = 363,303,946,009
  5. Step 5: Solve for x
    x = 363,303,946,009/291,263
  6. Step 6: Final answer
    x = 1,247,339.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.