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Finding the Third Proportional to 304,416 and 482,007

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Solution

The third proportional to 304,416 and 482,007 is: 763,201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,416 : 482,007 = 482,007 : x
  2. Step 2: Convert to fraction form
    304,416/482,007 = 482,007/x
  3. Step 3: Cross multiply
    304,416x = 482,007 × 482,007
  4. Step 4: Simplify right side
    304,416x = 232,330,748,049
  5. Step 5: Solve for x
    x = 232,330,748,049/304,416
  6. Step 6: Final answer
    x = 763,201.50

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.