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Finding the Third Proportional to 304,410 and 484,803

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Solution

The third proportional to 304,410 and 484,803 is: 772,096.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,410 : 484,803 = 484,803 : x
  2. Step 2: Convert to fraction form
    304,410/484,803 = 484,803/x
  3. Step 3: Cross multiply
    304,410x = 484,803 × 484,803
  4. Step 4: Simplify right side
    304,410x = 235,033,948,809
  5. Step 5: Solve for x
    x = 235,033,948,809/304,410
  6. Step 6: Final answer
    x = 772,096.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.