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Finding the Third Proportional to 347,088 and 525,000

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Solution

The third proportional to 347,088 and 525,000 is: 794,106.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,088 : 525,000 = 525,000 : x
  2. Step 2: Convert to fraction form
    347,088/525,000 = 525,000/x
  3. Step 3: Cross multiply
    347,088x = 525,000 × 525,000
  4. Step 4: Simplify right side
    347,088x = 275,625,000,000
  5. Step 5: Solve for x
    x = 275,625,000,000/347,088
  6. Step 6: Final answer
    x = 794,106.97

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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.