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Finding the Third Proportional to 347,130 and 528,025

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Solution

The third proportional to 347,130 and 528,025 is: 803,187.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,130 : 528,025 = 528,025 : x
  2. Step 2: Convert to fraction form
    347,130/528,025 = 528,025/x
  3. Step 3: Cross multiply
    347,130x = 528,025 × 528,025
  4. Step 4: Simplify right side
    347,130x = 278,810,400,625
  5. Step 5: Solve for x
    x = 278,810,400,625/347,130
  6. Step 6: Final answer
    x = 803,187.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.