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Finding the Third Proportional to 302,988 and 448,650

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Solution

The third proportional to 302,988 and 448,650 is: 664,339.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,988 : 448,650 = 448,650 : x
  2. Step 2: Convert to fraction form
    302,988/448,650 = 448,650/x
  3. Step 3: Cross multiply
    302,988x = 448,650 × 448,650
  4. Step 4: Simplify right side
    302,988x = 201,286,822,500
  5. Step 5: Solve for x
    x = 201,286,822,500/302,988
  6. Step 6: Final answer
    x = 664,339.26

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.