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Finding the Third Proportional to 308,653.88 and 463,802.63

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Solution

The third proportional to 308,653.88 and 463,802.63 is: 696,938.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,653.88 : 463,802.63 = 463,802.63 : x
  2. Step 2: Convert to fraction form
    308,653.88/463,802.63 = 463,802.63/x
  3. Step 3: Cross multiply
    308,653.88x = 463,802.63 × 463,802.63
  4. Step 4: Simplify right side
    308,653.88x = 215,112,874,956.89
  5. Step 5: Solve for x
    x = 215,112,874,956.89/308,653.88
  6. Step 6: Final answer
    x = 696,938.84

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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.