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Finding the Third Proportional to 306,043.50 and 459,066

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Solution

The third proportional to 306,043.50 and 459,066 is: 688,600.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,043.50 : 459,066 = 459,066 : x
  2. Step 2: Convert to fraction form
    306,043.50/459,066 = 459,066/x
  3. Step 3: Cross multiply
    306,043.50x = 459,066 × 459,066
  4. Step 4: Simplify right side
    306,043.50x = 210,741,592,356
  5. Step 5: Solve for x
    x = 210,741,592,356/306,043.50
  6. Step 6: Final answer
    x = 688,600.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.