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Finding the Third Proportional to 299,523 and 651,534

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Solution

The third proportional to 299,523 and 651,534 is: 1,417,241.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,523 : 651,534 = 651,534 : x
  2. Step 2: Convert to fraction form
    299,523/651,534 = 651,534/x
  3. Step 3: Cross multiply
    299,523x = 651,534 × 651,534
  4. Step 4: Simplify right side
    299,523x = 424,496,553,156
  5. Step 5: Solve for x
    x = 424,496,553,156/299,523
  6. Step 6: Final answer
    x = 1,417,241.93

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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.