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Finding the Third Proportional to 344,747.39 and 535,051.83

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Solution

The third proportional to 344,747.39 and 535,051.83 is: 830,406.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,747.39 : 535,051.83 = 535,051.83 : x
  2. Step 2: Convert to fraction form
    344,747.39/535,051.83 = 535,051.83/x
  3. Step 3: Cross multiply
    344,747.39x = 535,051.83 × 535,051.83
  4. Step 4: Simplify right side
    344,747.39x = 286,280,458,779.91
  5. Step 5: Solve for x
    x = 286,280,458,779.91/344,747.39
  6. Step 6: Final answer
    x = 830,406.46

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.