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Finding the Third Proportional to 389,430 and 841,138.50

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Solution

The third proportional to 389,430 and 841,138.50 is: 1,816,793.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,430 : 841,138.50 = 841,138.50 : x
  2. Step 2: Convert to fraction form
    389,430/841,138.50 = 841,138.50/x
  3. Step 3: Cross multiply
    389,430x = 841,138.50 × 841,138.50
  4. Step 4: Simplify right side
    389,430x = 707,513,976,182.25
  5. Step 5: Solve for x
    x = 707,513,976,182.25/389,430
  6. Step 6: Final answer
    x = 1,816,793.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.