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Finding the Third Proportional to 295,771.50 and 450,967.50

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Solution

The third proportional to 295,771.50 and 450,967.50 is: 687,597.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,771.50 : 450,967.50 = 450,967.50 : x
  2. Step 2: Convert to fraction form
    295,771.50/450,967.50 = 450,967.50/x
  3. Step 3: Cross multiply
    295,771.50x = 450,967.50 × 450,967.50
  4. Step 4: Simplify right side
    295,771.50x = 203,371,686,056.25
  5. Step 5: Solve for x
    x = 203,371,686,056.25/295,771.50
  6. Step 6: Final answer
    x = 687,597.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.