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Finding the Third Proportional to 291,328.50 and 457,776.75

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Solution

The third proportional to 291,328.50 and 457,776.75 is: 719,323.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,328.50 : 457,776.75 = 457,776.75 : x
  2. Step 2: Convert to fraction form
    291,328.50/457,776.75 = 457,776.75/x
  3. Step 3: Cross multiply
    291,328.50x = 457,776.75 × 457,776.75
  4. Step 4: Simplify right side
    291,328.50x = 209,559,552,840.56
  5. Step 5: Solve for x
    x = 209,559,552,840.56/291,328.50
  6. Step 6: Final answer
    x = 719,323.90

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