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Finding the Third Proportional to 295,943 and 480,810

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Solution

The third proportional to 295,943 and 480,810 is: 781,158.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,943 : 480,810 = 480,810 : x
  2. Step 2: Convert to fraction form
    295,943/480,810 = 480,810/x
  3. Step 3: Cross multiply
    295,943x = 480,810 × 480,810
  4. Step 4: Simplify right side
    295,943x = 231,178,256,100
  5. Step 5: Solve for x
    x = 231,178,256,100/295,943
  6. Step 6: Final answer
    x = 781,158.05

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.