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Finding the Third Proportional to 301,436,217.75 and 652,961,802

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Solution

The third proportional to 301,436,217.75 and 652,961,802 is: 1,414,425,638.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,436,217.75 : 652,961,802 = 652,961,802 : x
  2. Step 2: Convert to fraction form
    301,436,217.75/652,961,802 = 652,961,802/x
  3. Step 3: Cross multiply
    301,436,217.75x = 652,961,802 × 652,961,802
  4. Step 4: Simplify right side
    301,436,217.75x = 426,359,114,871,087,232
  5. Step 5: Solve for x
    x = 426,359,114,871,087,232/301,436,217.75
  6. Step 6: Final answer
    x = 1,414,425,638.87

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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.