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Finding the Third Proportional to 301,237 and 652,065

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Solution

The third proportional to 301,237 and 652,065 is: 1,411,475.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,237 : 652,065 = 652,065 : x
  2. Step 2: Convert to fraction form
    301,237/652,065 = 652,065/x
  3. Step 3: Cross multiply
    301,237x = 652,065 × 652,065
  4. Step 4: Simplify right side
    301,237x = 425,188,764,225
  5. Step 5: Solve for x
    x = 425,188,764,225/301,237
  6. Step 6: Final answer
    x = 1,411,475.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.