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Finding the Third Proportional to 302,856 and 424,664

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Solution

The third proportional to 302,856 and 424,664 is: 595,462.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,856 : 424,664 = 424,664 : x
  2. Step 2: Convert to fraction form
    302,856/424,664 = 424,664/x
  3. Step 3: Cross multiply
    302,856x = 424,664 × 424,664
  4. Step 4: Simplify right side
    302,856x = 180,339,512,896
  5. Step 5: Solve for x
    x = 180,339,512,896/302,856
  6. Step 6: Final answer
    x = 595,462.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.