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Finding the Third Proportional to 301,030 and 653,882

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Solution

The third proportional to 301,030 and 653,882 is: 1,420,329.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,030 : 653,882 = 653,882 : x
  2. Step 2: Convert to fraction form
    301,030/653,882 = 653,882/x
  3. Step 3: Cross multiply
    301,030x = 653,882 × 653,882
  4. Step 4: Simplify right side
    301,030x = 427,561,669,924
  5. Step 5: Solve for x
    x = 427,561,669,924/301,030
  6. Step 6: Final answer
    x = 1,420,329.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.