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Finding the Third Proportional to 302,984 and 652,480

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Solution

The third proportional to 302,984 and 652,480 is: 1,405,124.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,984 : 652,480 = 652,480 : x
  2. Step 2: Convert to fraction form
    302,984/652,480 = 652,480/x
  3. Step 3: Cross multiply
    302,984x = 652,480 × 652,480
  4. Step 4: Simplify right side
    302,984x = 425,730,150,400
  5. Step 5: Solve for x
    x = 425,730,150,400/302,984
  6. Step 6: Final answer
    x = 1,405,124.20

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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.