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Finding the Third Proportional to 302,483 and 652,107

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Solution

The third proportional to 302,483 and 652,107 is: 1,405,842.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,483 : 652,107 = 652,107 : x
  2. Step 2: Convert to fraction form
    302,483/652,107 = 652,107/x
  3. Step 3: Cross multiply
    302,483x = 652,107 × 652,107
  4. Step 4: Simplify right side
    302,483x = 425,243,539,449
  5. Step 5: Solve for x
    x = 425,243,539,449/302,483
  6. Step 6: Final answer
    x = 1,405,842.77

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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.