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Finding the Third Proportional to 375,527 and 835,014

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Solution

The third proportional to 375,527 and 835,014 is: 1,856,719.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,527 : 835,014 = 835,014 : x
  2. Step 2: Convert to fraction form
    375,527/835,014 = 835,014/x
  3. Step 3: Cross multiply
    375,527x = 835,014 × 835,014
  4. Step 4: Simplify right side
    375,527x = 697,248,380,196
  5. Step 5: Solve for x
    x = 697,248,380,196/375,527
  6. Step 6: Final answer
    x = 1,856,719.70

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.