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Finding the Third Proportional to 304,426 and 482,022

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Solution

The third proportional to 304,426 and 482,022 is: 763,223.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,426 : 482,022 = 482,022 : x
  2. Step 2: Convert to fraction form
    304,426/482,022 = 482,022/x
  3. Step 3: Cross multiply
    304,426x = 482,022 × 482,022
  4. Step 4: Simplify right side
    304,426x = 232,345,208,484
  5. Step 5: Solve for x
    x = 232,345,208,484/304,426
  6. Step 6: Final answer
    x = 763,223.93

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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.