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Finding the Third Proportional to 389,430.50 and 837,032

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Solution

The third proportional to 389,430.50 and 837,032 is: 1,799,095.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,430.50 : 837,032 = 837,032 : x
  2. Step 2: Convert to fraction form
    389,430.50/837,032 = 837,032/x
  3. Step 3: Cross multiply
    389,430.50x = 837,032 × 837,032
  4. Step 4: Simplify right side
    389,430.50x = 700,622,569,024
  5. Step 5: Solve for x
    x = 700,622,569,024/389,430.50
  6. Step 6: Final answer
    x = 1,799,095.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.