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Finding the Third Proportional to 362,575.50 and 797,646

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Solution

The third proportional to 362,575.50 and 797,646 is: 1,754,776.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,575.50 : 797,646 = 797,646 : x
  2. Step 2: Convert to fraction form
    362,575.50/797,646 = 797,646/x
  3. Step 3: Cross multiply
    362,575.50x = 797,646 × 797,646
  4. Step 4: Simplify right side
    362,575.50x = 636,239,141,316
  5. Step 5: Solve for x
    x = 636,239,141,316/362,575.50
  6. Step 6: Final answer
    x = 1,754,776.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.