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Finding the Third Proportional to 375,733.69 and 832,492.69

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Solution

The third proportional to 375,733.69 and 832,492.69 is: 1,844,508.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,733.69 : 832,492.69 = 832,492.69 : x
  2. Step 2: Convert to fraction form
    375,733.69/832,492.69 = 832,492.69/x
  3. Step 3: Cross multiply
    375,733.69x = 832,492.69 × 832,492.69
  4. Step 4: Simplify right side
    375,733.69x = 693,044,074,740.97
  5. Step 5: Solve for x
    x = 693,044,074,740.97/375,733.69
  6. Step 6: Final answer
    x = 1,844,508.75

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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.