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Finding the Third Proportional to 385,291.69 and 832,323.09

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Solution

The third proportional to 385,291.69 and 832,323.09 is: 1,798,018.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,291.69 : 832,323.09 = 832,323.09 : x
  2. Step 2: Convert to fraction form
    385,291.69/832,323.09 = 832,323.09/x
  3. Step 3: Cross multiply
    385,291.69x = 832,323.09 × 832,323.09
  4. Step 4: Simplify right side
    385,291.69x = 692,761,732,389.57
  5. Step 5: Solve for x
    x = 692,761,732,389.57/385,291.69
  6. Step 6: Final answer
    x = 1,798,018.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.