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Finding the Third Proportional to 299,095.50 and 459,729

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Solution

The third proportional to 299,095.50 and 459,729 is: 706,633.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,095.50 : 459,729 = 459,729 : x
  2. Step 2: Convert to fraction form
    299,095.50/459,729 = 459,729/x
  3. Step 3: Cross multiply
    299,095.50x = 459,729 × 459,729
  4. Step 4: Simplify right side
    299,095.50x = 211,350,753,441
  5. Step 5: Solve for x
    x = 211,350,753,441/299,095.50
  6. Step 6: Final answer
    x = 706,633.01

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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.