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Finding the Third Proportional to 395,263.50 and 865,491

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Solution

The third proportional to 395,263.50 and 865,491 is: 1,895,127.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,263.50 : 865,491 = 865,491 : x
  2. Step 2: Convert to fraction form
    395,263.50/865,491 = 865,491/x
  3. Step 3: Cross multiply
    395,263.50x = 865,491 × 865,491
  4. Step 4: Simplify right side
    395,263.50x = 749,074,671,081
  5. Step 5: Solve for x
    x = 749,074,671,081/395,263.50
  6. Step 6: Final answer
    x = 1,895,127.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.