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Finding the Third Proportional to 393,029 and 592,803.50

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Solution

The third proportional to 393,029 and 592,803.50 is: 894,122.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,029 : 592,803.50 = 592,803.50 : x
  2. Step 2: Convert to fraction form
    393,029/592,803.50 = 592,803.50/x
  3. Step 3: Cross multiply
    393,029x = 592,803.50 × 592,803.50
  4. Step 4: Simplify right side
    393,029x = 351,415,989,612.25
  5. Step 5: Solve for x
    x = 351,415,989,612.25/393,029
  6. Step 6: Final answer
    x = 894,122.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.