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Finding the Third Proportional to 295,803 and 647,583

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Solution

The third proportional to 295,803 and 647,583 is: 1,417,712.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,803 : 647,583 = 647,583 : x
  2. Step 2: Convert to fraction form
    295,803/647,583 = 647,583/x
  3. Step 3: Cross multiply
    295,803x = 647,583 × 647,583
  4. Step 4: Simplify right side
    295,803x = 419,363,741,889
  5. Step 5: Solve for x
    x = 419,363,741,889/295,803
  6. Step 6: Final answer
    x = 1,417,712.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.