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Finding the Third Proportional to 304,664 and 486,516

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Solution

The third proportional to 304,664 and 486,516 is: 776,914.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,664 : 486,516 = 486,516 : x
  2. Step 2: Convert to fraction form
    304,664/486,516 = 486,516/x
  3. Step 3: Cross multiply
    304,664x = 486,516 × 486,516
  4. Step 4: Simplify right side
    304,664x = 236,697,818,256
  5. Step 5: Solve for x
    x = 236,697,818,256/304,664
  6. Step 6: Final answer
    x = 776,914.30

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.