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Finding the Third Proportional to 302,750.50 and 468,777

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Solution

The third proportional to 302,750.50 and 468,777 is: 725,851.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,750.50 : 468,777 = 468,777 : x
  2. Step 2: Convert to fraction form
    302,750.50/468,777 = 468,777/x
  3. Step 3: Cross multiply
    302,750.50x = 468,777 × 468,777
  4. Step 4: Simplify right side
    302,750.50x = 219,751,875,729
  5. Step 5: Solve for x
    x = 219,751,875,729/302,750.50
  6. Step 6: Final answer
    x = 725,851.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.