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Finding the Third Proportional to 392,989,081.50 and 589,771,334.25

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Solution

The third proportional to 392,989,081.50 and 589,771,334.25 is: 885,088,780.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,989,081.50 : 589,771,334.25 = 589,771,334.25 : x
  2. Step 2: Convert to fraction form
    392,989,081.50/589,771,334.25 = 589,771,334.25/x
  3. Step 3: Cross multiply
    392,989,081.50x = 589,771,334.25 × 589,771,334.25
  4. Step 4: Simplify right side
    392,989,081.50x = 347,830,226,703,025,216
  5. Step 5: Solve for x
    x = 347,830,226,703,025,216/392,989,081.50
  6. Step 6: Final answer
    x = 885,088,780.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.