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Finding the Third Proportional to 295,680 and 463,300

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Solution

The third proportional to 295,680 and 463,300 is: 725,943.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,680 : 463,300 = 463,300 : x
  2. Step 2: Convert to fraction form
    295,680/463,300 = 463,300/x
  3. Step 3: Cross multiply
    295,680x = 463,300 × 463,300
  4. Step 4: Simplify right side
    295,680x = 214,646,890,000
  5. Step 5: Solve for x
    x = 214,646,890,000/295,680
  6. Step 6: Final answer
    x = 725,943.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.