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Finding the Third Proportional to 274,752 and 435,888

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Solution

The third proportional to 274,752 and 435,888 is: 691,526.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,752 : 435,888 = 435,888 : x
  2. Step 2: Convert to fraction form
    274,752/435,888 = 435,888/x
  3. Step 3: Cross multiply
    274,752x = 435,888 × 435,888
  4. Step 4: Simplify right side
    274,752x = 189,998,348,544
  5. Step 5: Solve for x
    x = 189,998,348,544/274,752
  6. Step 6: Final answer
    x = 691,526.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.