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Finding the Third Proportional to 375,535 and 835,033

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Solution

The third proportional to 375,535 and 835,033 is: 1,856,764.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,535 : 835,033 = 835,033 : x
  2. Step 2: Convert to fraction form
    375,535/835,033 = 835,033/x
  3. Step 3: Cross multiply
    375,535x = 835,033 × 835,033
  4. Step 4: Simplify right side
    375,535x = 697,280,111,089
  5. Step 5: Solve for x
    x = 697,280,111,089/375,535
  6. Step 6: Final answer
    x = 1,856,764.65

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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.