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Finding the Third Proportional to 343,755 and 531,184.50

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Solution

The third proportional to 343,755 and 531,184.50 is: 820,808.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,755 : 531,184.50 = 531,184.50 : x
  2. Step 2: Convert to fraction form
    343,755/531,184.50 = 531,184.50/x
  3. Step 3: Cross multiply
    343,755x = 531,184.50 × 531,184.50
  4. Step 4: Simplify right side
    343,755x = 282,156,973,040.25
  5. Step 5: Solve for x
    x = 282,156,973,040.25/343,755
  6. Step 6: Final answer
    x = 820,808.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.