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Finding the Third Proportional to 295,803 and 646,315.50

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Solution

The third proportional to 295,803 and 646,315.50 is: 1,412,168.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,803 : 646,315.50 = 646,315.50 : x
  2. Step 2: Convert to fraction form
    295,803/646,315.50 = 646,315.50/x
  3. Step 3: Cross multiply
    295,803x = 646,315.50 × 646,315.50
  4. Step 4: Simplify right side
    295,803x = 417,723,725,540.25
  5. Step 5: Solve for x
    x = 417,723,725,540.25/295,803
  6. Step 6: Final answer
    x = 1,412,168.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.