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Finding the Third Proportional to 497,071.75 and 760,051.88

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Solution

The third proportional to 497,071.75 and 760,051.88 is: 1,162,163.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,071.75 : 760,051.88 = 760,051.88 : x
  2. Step 2: Convert to fraction form
    497,071.75/760,051.88 = 760,051.88/x
  3. Step 3: Cross multiply
    497,071.75x = 760,051.88 × 760,051.88
  4. Step 4: Simplify right side
    497,071.75x = 577,678,852,691.02
  5. Step 5: Solve for x
    x = 577,678,852,691.02/497,071.75
  6. Step 6: Final answer
    x = 1,162,163.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.