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Finding the Third Proportional to 432,004.50 and 593,264.25

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Solution

The third proportional to 432,004.50 and 593,264.25 is: 814,719.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,004.50 : 593,264.25 = 593,264.25 : x
  2. Step 2: Convert to fraction form
    432,004.50/593,264.25 = 593,264.25/x
  3. Step 3: Cross multiply
    432,004.50x = 593,264.25 × 593,264.25
  4. Step 4: Simplify right side
    432,004.50x = 351,962,470,328.06
  5. Step 5: Solve for x
    x = 351,962,470,328.06/432,004.50
  6. Step 6: Final answer
    x = 814,719.45

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.