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Finding the Third Proportional to 380,837.53 and 829,985.06

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Solution

The third proportional to 380,837.53 and 829,985.06 is: 1,808,842.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,837.53 : 829,985.06 = 829,985.06 : x
  2. Step 2: Convert to fraction form
    380,837.53/829,985.06 = 829,985.06/x
  3. Step 3: Cross multiply
    380,837.53x = 829,985.06 × 829,985.06
  4. Step 4: Simplify right side
    380,837.53x = 688,875,203,973.13
  5. Step 5: Solve for x
    x = 688,875,203,973.13/380,837.53
  6. Step 6: Final answer
    x = 1,808,842.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.