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Finding the Third Proportional to 305,440.88 and 506,341.13

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Solution

The third proportional to 305,440.88 and 506,341.13 is: 839,381.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,440.88 : 506,341.13 = 506,341.13 : x
  2. Step 2: Convert to fraction form
    305,440.88/506,341.13 = 506,341.13/x
  3. Step 3: Cross multiply
    305,440.88x = 506,341.13 × 506,341.13
  4. Step 4: Simplify right side
    305,440.88x = 256,381,334,866.27
  5. Step 5: Solve for x
    x = 256,381,334,866.27/305,440.88
  6. Step 6: Final answer
    x = 839,381.22

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.