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Finding the Third Proportional to 302,868 and 655,888.50

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Solution

The third proportional to 302,868 and 655,888.50 is: 1,420,386.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,868 : 655,888.50 = 655,888.50 : x
  2. Step 2: Convert to fraction form
    302,868/655,888.50 = 655,888.50/x
  3. Step 3: Cross multiply
    302,868x = 655,888.50 × 655,888.50
  4. Step 4: Simplify right side
    302,868x = 430,189,724,432.25
  5. Step 5: Solve for x
    x = 430,189,724,432.25/302,868
  6. Step 6: Final answer
    x = 1,420,386.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.