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Finding the Third Proportional to 374,297 and 795,315

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Solution

The third proportional to 374,297 and 795,315 is: 1,689,903.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,297 : 795,315 = 795,315 : x
  2. Step 2: Convert to fraction form
    374,297/795,315 = 795,315/x
  3. Step 3: Cross multiply
    374,297x = 795,315 × 795,315
  4. Step 4: Simplify right side
    374,297x = 632,525,949,225
  5. Step 5: Solve for x
    x = 632,525,949,225/374,297
  6. Step 6: Final answer
    x = 1,689,903.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.