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Finding the Third Proportional to 300,411 and 463,863

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Solution

The third proportional to 300,411 and 463,863 is: 716,248.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,411 : 463,863 = 463,863 : x
  2. Step 2: Convert to fraction form
    300,411/463,863 = 463,863/x
  3. Step 3: Cross multiply
    300,411x = 463,863 × 463,863
  4. Step 4: Simplify right side
    300,411x = 215,168,882,769
  5. Step 5: Solve for x
    x = 215,168,882,769/300,411
  6. Step 6: Final answer
    x = 716,248.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.