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Finding the Third Proportional to 299,088.50 and 459,719.50

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Solution

The third proportional to 299,088.50 and 459,719.50 is: 706,620.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,088.50 : 459,719.50 = 459,719.50 : x
  2. Step 2: Convert to fraction form
    299,088.50/459,719.50 = 459,719.50/x
  3. Step 3: Cross multiply
    299,088.50x = 459,719.50 × 459,719.50
  4. Step 4: Simplify right side
    299,088.50x = 211,342,018,680.25
  5. Step 5: Solve for x
    x = 211,342,018,680.25/299,088.50
  6. Step 6: Final answer
    x = 706,620.34

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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.