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Finding the Third Proportional to 343,397.25 and 525,343.50

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Solution

The third proportional to 343,397.25 and 525,343.50 is: 803,692.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,397.25 : 525,343.50 = 525,343.50 : x
  2. Step 2: Convert to fraction form
    343,397.25/525,343.50 = 525,343.50/x
  3. Step 3: Cross multiply
    343,397.25x = 525,343.50 × 525,343.50
  4. Step 4: Simplify right side
    343,397.25x = 275,985,792,992.25
  5. Step 5: Solve for x
    x = 275,985,792,992.25/343,397.25
  6. Step 6: Final answer
    x = 803,692.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.