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Finding the Third Proportional to 304,308 and 456,519

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Solution

The third proportional to 304,308 and 456,519 is: 684,864.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,308 : 456,519 = 456,519 : x
  2. Step 2: Convert to fraction form
    304,308/456,519 = 456,519/x
  3. Step 3: Cross multiply
    304,308x = 456,519 × 456,519
  4. Step 4: Simplify right side
    304,308x = 208,409,597,361
  5. Step 5: Solve for x
    x = 208,409,597,361/304,308
  6. Step 6: Final answer
    x = 684,864.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.