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Finding the Third Proportional to 299,091 and 459,724

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Solution

The third proportional to 299,091 and 459,724 is: 706,628.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,091 : 459,724 = 459,724 : x
  2. Step 2: Convert to fraction form
    299,091/459,724 = 459,724/x
  3. Step 3: Cross multiply
    299,091x = 459,724 × 459,724
  4. Step 4: Simplify right side
    299,091x = 211,346,156,176
  5. Step 5: Solve for x
    x = 211,346,156,176/299,091
  6. Step 6: Final answer
    x = 706,628.27

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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.