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Finding the Third Proportional to 272,385 and 632,969

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Solution

The third proportional to 272,385 and 632,969 is: 1,470,895.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,385 : 632,969 = 632,969 : x
  2. Step 2: Convert to fraction form
    272,385/632,969 = 632,969/x
  3. Step 3: Cross multiply
    272,385x = 632,969 × 632,969
  4. Step 4: Simplify right side
    272,385x = 400,649,754,961
  5. Step 5: Solve for x
    x = 400,649,754,961/272,385
  6. Step 6: Final answer
    x = 1,470,895.07

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.