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Finding the Third Proportional to 295,731 and 458,763.75

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Solution

The third proportional to 295,731 and 458,763.75 is: 711,674.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,731 : 458,763.75 = 458,763.75 : x
  2. Step 2: Convert to fraction form
    295,731/458,763.75 = 458,763.75/x
  3. Step 3: Cross multiply
    295,731x = 458,763.75 × 458,763.75
  4. Step 4: Simplify right side
    295,731x = 210,464,178,314.06
  5. Step 5: Solve for x
    x = 210,464,178,314.06/295,731
  6. Step 6: Final answer
    x = 711,674.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.