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Finding the Third Proportional to 294,322.50 and 455,631.75

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Solution

The third proportional to 294,322.50 and 455,631.75 is: 705,349.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,322.50 : 455,631.75 = 455,631.75 : x
  2. Step 2: Convert to fraction form
    294,322.50/455,631.75 = 455,631.75/x
  3. Step 3: Cross multiply
    294,322.50x = 455,631.75 × 455,631.75
  4. Step 4: Simplify right side
    294,322.50x = 207,600,291,608.06
  5. Step 5: Solve for x
    x = 207,600,291,608.06/294,322.50
  6. Step 6: Final answer
    x = 705,349.72

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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.