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Finding the Third Proportional to 302,400 and 651,024

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Solution

The third proportional to 302,400 and 651,024 is: 1,401,561.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,400 : 651,024 = 651,024 : x
  2. Step 2: Convert to fraction form
    302,400/651,024 = 651,024/x
  3. Step 3: Cross multiply
    302,400x = 651,024 × 651,024
  4. Step 4: Simplify right side
    302,400x = 423,832,248,576
  5. Step 5: Solve for x
    x = 423,832,248,576/302,400
  6. Step 6: Final answer
    x = 1,401,561.67

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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.