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Finding the Third Proportional to 299,582 and 652,066

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Solution

The third proportional to 299,582 and 652,066 is: 1,419,277.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,582 : 652,066 = 652,066 : x
  2. Step 2: Convert to fraction form
    299,582/652,066 = 652,066/x
  3. Step 3: Cross multiply
    299,582x = 652,066 × 652,066
  4. Step 4: Simplify right side
    299,582x = 425,190,068,356
  5. Step 5: Solve for x
    x = 425,190,068,356/299,582
  6. Step 6: Final answer
    x = 1,419,277.75

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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.