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Finding the Third Proportional to 576,409.50 and 920,828.25

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Solution

The third proportional to 576,409.50 and 920,828.25 is: 1,471,045.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,409.50 : 920,828.25 = 920,828.25 : x
  2. Step 2: Convert to fraction form
    576,409.50/920,828.25 = 920,828.25/x
  3. Step 3: Cross multiply
    576,409.50x = 920,828.25 × 920,828.25
  4. Step 4: Simplify right side
    576,409.50x = 847,924,665,998.06
  5. Step 5: Solve for x
    x = 847,924,665,998.06/576,409.50
  6. Step 6: Final answer
    x = 1,471,045.61

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.