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Finding the Third Proportional to 295,060.50 and 633,125.25

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Solution

The third proportional to 295,060.50 and 633,125.25 is: 1,358,526.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,060.50 : 633,125.25 = 633,125.25 : x
  2. Step 2: Convert to fraction form
    295,060.50/633,125.25 = 633,125.25/x
  3. Step 3: Cross multiply
    295,060.50x = 633,125.25 × 633,125.25
  4. Step 4: Simplify right side
    295,060.50x = 400,847,582,187.56
  5. Step 5: Solve for x
    x = 400,847,582,187.56/295,060.50
  6. Step 6: Final answer
    x = 1,358,526.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.