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Finding the Third Proportional to 345,399 and 459,094.50

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Solution

The third proportional to 345,399 and 459,094.50 is: 610,215.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,399 : 459,094.50 = 459,094.50 : x
  2. Step 2: Convert to fraction form
    345,399/459,094.50 = 459,094.50/x
  3. Step 3: Cross multiply
    345,399x = 459,094.50 × 459,094.50
  4. Step 4: Simplify right side
    345,399x = 210,767,759,930.25
  5. Step 5: Solve for x
    x = 210,767,759,930.25/345,399
  6. Step 6: Final answer
    x = 610,215.32

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.