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Finding the Third Proportional to 299,248 and 652,064

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Solution

The third proportional to 299,248 and 652,064 is: 1,420,853.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,248 : 652,064 = 652,064 : x
  2. Step 2: Convert to fraction form
    299,248/652,064 = 652,064/x
  3. Step 3: Cross multiply
    299,248x = 652,064 × 652,064
  4. Step 4: Simplify right side
    299,248x = 425,187,460,096
  5. Step 5: Solve for x
    x = 425,187,460,096/299,248
  6. Step 6: Final answer
    x = 1,420,853.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.