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Finding the Third Proportional to 295,376 and 632,752

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Solution

The third proportional to 295,376 and 632,752 is: 1,355,476.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,376 : 632,752 = 632,752 : x
  2. Step 2: Convert to fraction form
    295,376/632,752 = 632,752/x
  3. Step 3: Cross multiply
    295,376x = 632,752 × 632,752
  4. Step 4: Simplify right side
    295,376x = 400,375,093,504
  5. Step 5: Solve for x
    x = 400,375,093,504/295,376
  6. Step 6: Final answer
    x = 1,355,476.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.