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Finding the Third Proportional to 298,979.50 and 459,541

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Solution

The third proportional to 298,979.50 and 459,541 is: 706,329.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,979.50 : 459,541 = 459,541 : x
  2. Step 2: Convert to fraction form
    298,979.50/459,541 = 459,541/x
  3. Step 3: Cross multiply
    298,979.50x = 459,541 × 459,541
  4. Step 4: Simplify right side
    298,979.50x = 211,177,930,681
  5. Step 5: Solve for x
    x = 211,177,930,681/298,979.50
  6. Step 6: Final answer
    x = 706,329.13

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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.