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Finding the Third Proportional to 291,202.50 and 456,894.75

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Solution

The third proportional to 291,202.50 and 456,894.75 is: 716,864.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,202.50 : 456,894.75 = 456,894.75 : x
  2. Step 2: Convert to fraction form
    291,202.50/456,894.75 = 456,894.75/x
  3. Step 3: Cross multiply
    291,202.50x = 456,894.75 × 456,894.75
  4. Step 4: Simplify right side
    291,202.50x = 208,752,812,577.56
  5. Step 5: Solve for x
    x = 208,752,812,577.56/291,202.50
  6. Step 6: Final answer
    x = 716,864.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.