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Finding the Third Proportional to 302,747 and 468,773

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Solution

The third proportional to 302,747 and 468,773 is: 725,847.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,747 : 468,773 = 468,773 : x
  2. Step 2: Convert to fraction form
    302,747/468,773 = 468,773/x
  3. Step 3: Cross multiply
    302,747x = 468,773 × 468,773
  4. Step 4: Simplify right side
    302,747x = 219,748,125,529
  5. Step 5: Solve for x
    x = 219,748,125,529/302,747
  6. Step 6: Final answer
    x = 725,847.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.