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Finding the Third Proportional to 470,314 and 720,663

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Solution

The third proportional to 470,314 and 720,663 is: 1,104,273.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,314 : 720,663 = 720,663 : x
  2. Step 2: Convert to fraction form
    470,314/720,663 = 720,663/x
  3. Step 3: Cross multiply
    470,314x = 720,663 × 720,663
  4. Step 4: Simplify right side
    470,314x = 519,355,159,569
  5. Step 5: Solve for x
    x = 519,355,159,569/470,314
  6. Step 6: Final answer
    x = 1,104,273.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.