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Finding the Third Proportional to 301,507 and 468,863

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Solution

The third proportional to 301,507 and 468,863 is: 729,112.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,507 : 468,863 = 468,863 : x
  2. Step 2: Convert to fraction form
    301,507/468,863 = 468,863/x
  3. Step 3: Cross multiply
    301,507x = 468,863 × 468,863
  4. Step 4: Simplify right side
    301,507x = 219,832,512,769
  5. Step 5: Solve for x
    x = 219,832,512,769/301,507
  6. Step 6: Final answer
    x = 729,112.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.