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Finding the Third Proportional to 243,590.63 and 531,447.75

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Solution

The third proportional to 243,590.63 and 531,447.75 is: 1,159,472.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,590.63 : 531,447.75 = 531,447.75 : x
  2. Step 2: Convert to fraction form
    243,590.63/531,447.75 = 531,447.75/x
  3. Step 3: Cross multiply
    243,590.63x = 531,447.75 × 531,447.75
  4. Step 4: Simplify right side
    243,590.63x = 282,436,710,980.06
  5. Step 5: Solve for x
    x = 282,436,710,980.06/243,590.63
  6. Step 6: Final answer
    x = 1,159,472.83

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.