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Finding the Third Proportional to 298,975.75 and 459,535.13

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Solution

The third proportional to 298,975.75 and 459,535.13 is: 706,319.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,975.75 : 459,535.13 = 459,535.13 : x
  2. Step 2: Convert to fraction form
    298,975.75/459,535.13 = 459,535.13/x
  3. Step 3: Cross multiply
    298,975.75x = 459,535.13 × 459,535.13
  4. Step 4: Simplify right side
    298,975.75x = 211,172,531,108.77
  5. Step 5: Solve for x
    x = 211,172,531,108.77/298,975.75
  6. Step 6: Final answer
    x = 706,319.93

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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.