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Finding the Third Proportional to 299,095 and 459,728

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Solution

The third proportional to 299,095 and 459,728 is: 706,631.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,095 : 459,728 = 459,728 : x
  2. Step 2: Convert to fraction form
    299,095/459,728 = 459,728/x
  3. Step 3: Cross multiply
    299,095x = 459,728 × 459,728
  4. Step 4: Simplify right side
    299,095x = 211,349,833,984
  5. Step 5: Solve for x
    x = 211,349,833,984/299,095
  6. Step 6: Final answer
    x = 706,631.12

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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.