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Finding the Third Proportional to 302,481 and 652,102.50

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Solution

The third proportional to 302,481 and 652,102.50 is: 1,405,832.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,481 : 652,102.50 = 652,102.50 : x
  2. Step 2: Convert to fraction form
    302,481/652,102.50 = 652,102.50/x
  3. Step 3: Cross multiply
    302,481x = 652,102.50 × 652,102.50
  4. Step 4: Simplify right side
    302,481x = 425,237,670,506.25
  5. Step 5: Solve for x
    x = 425,237,670,506.25/302,481
  6. Step 6: Final answer
    x = 1,405,832.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.