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Finding the Third Proportional to 385,527 and 835,407

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Solution

The third proportional to 385,527 and 835,407 is: 1,810,261.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,527 : 835,407 = 835,407 : x
  2. Step 2: Convert to fraction form
    385,527/835,407 = 835,407/x
  3. Step 3: Cross multiply
    385,527x = 835,407 × 835,407
  4. Step 4: Simplify right side
    385,527x = 697,904,855,649
  5. Step 5: Solve for x
    x = 697,904,855,649/385,527
  6. Step 6: Final answer
    x = 1,810,261.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.