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Finding the Third Proportional to 302,464.50 and 464,271.38

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Solution

The third proportional to 302,464.50 and 464,271.38 is: 712,638.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,464.50 : 464,271.38 = 464,271.38 : x
  2. Step 2: Convert to fraction form
    302,464.50/464,271.38 = 464,271.38/x
  3. Step 3: Cross multiply
    302,464.50x = 464,271.38 × 464,271.38
  4. Step 4: Simplify right side
    302,464.50x = 215,547,909,644.39
  5. Step 5: Solve for x
    x = 215,547,909,644.39/302,464.50
  6. Step 6: Final answer
    x = 712,638.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.