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Finding the Third Proportional to 354,430.69 and 539,038.55

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Solution

The third proportional to 354,430.69 and 539,038.55 is: 819,800.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,430.69 : 539,038.55 = 539,038.55 : x
  2. Step 2: Convert to fraction form
    354,430.69/539,038.55 = 539,038.55/x
  3. Step 3: Cross multiply
    354,430.69x = 539,038.55 × 539,038.55
  4. Step 4: Simplify right side
    354,430.69x = 290,562,555,017.11
  5. Step 5: Solve for x
    x = 290,562,555,017.11/354,430.69
  6. Step 6: Final answer
    x = 819,800.78

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