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Finding the Third Proportional to 306,037.13 and 459,056.25

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Solution

The third proportional to 306,037.13 and 459,056.25 is: 688,585.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,037.13 : 459,056.25 = 459,056.25 : x
  2. Step 2: Convert to fraction form
    306,037.13/459,056.25 = 459,056.25/x
  3. Step 3: Cross multiply
    306,037.13x = 459,056.25 × 459,056.25
  4. Step 4: Simplify right side
    306,037.13x = 210,732,640,664.06
  5. Step 5: Solve for x
    x = 210,732,640,664.06/306,037.13
  6. Step 6: Final answer
    x = 688,585.22

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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.