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Finding the Third Proportional to 282,561.75 and 413,385.75

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Solution

The third proportional to 282,561.75 and 413,385.75 is: 604,780.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,561.75 : 413,385.75 = 413,385.75 : x
  2. Step 2: Convert to fraction form
    282,561.75/413,385.75 = 413,385.75/x
  3. Step 3: Cross multiply
    282,561.75x = 413,385.75 × 413,385.75
  4. Step 4: Simplify right side
    282,561.75x = 170,887,778,303.06
  5. Step 5: Solve for x
    x = 170,887,778,303.06/282,561.75
  6. Step 6: Final answer
    x = 604,780.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.