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Finding the Third Proportional to 299,534 and 651,554

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Solution

The third proportional to 299,534 and 651,554 is: 1,417,276.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,534 : 651,554 = 651,554 : x
  2. Step 2: Convert to fraction form
    299,534/651,554 = 651,554/x
  3. Step 3: Cross multiply
    299,534x = 651,554 × 651,554
  4. Step 4: Simplify right side
    299,534x = 424,522,614,916
  5. Step 5: Solve for x
    x = 424,522,614,916/299,534
  6. Step 6: Final answer
    x = 1,417,276.89

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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.