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Finding the Third Proportional to 302,597 and 439,707

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Solution

The third proportional to 302,597 and 439,707 is: 638,943.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,597 : 439,707 = 439,707 : x
  2. Step 2: Convert to fraction form
    302,597/439,707 = 439,707/x
  3. Step 3: Cross multiply
    302,597x = 439,707 × 439,707
  4. Step 4: Simplify right side
    302,597x = 193,342,245,849
  5. Step 5: Solve for x
    x = 193,342,245,849/302,597
  6. Step 6: Final answer
    x = 638,943.04

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.