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Finding the Third Proportional to 295,225.50 and 469,989

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Solution

The third proportional to 295,225.50 and 469,989 is: 748,206.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,225.50 : 469,989 = 469,989 : x
  2. Step 2: Convert to fraction form
    295,225.50/469,989 = 469,989/x
  3. Step 3: Cross multiply
    295,225.50x = 469,989 × 469,989
  4. Step 4: Simplify right side
    295,225.50x = 220,889,660,121
  5. Step 5: Solve for x
    x = 220,889,660,121/295,225.50
  6. Step 6: Final answer
    x = 748,206.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.