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Finding the Third Proportional to 426,191.63 and 710,228.25

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Solution

The third proportional to 426,191.63 and 710,228.25 is: 1,183,561.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,191.63 : 710,228.25 = 710,228.25 : x
  2. Step 2: Convert to fraction form
    426,191.63/710,228.25 = 710,228.25/x
  3. Step 3: Cross multiply
    426,191.63x = 710,228.25 × 710,228.25
  4. Step 4: Simplify right side
    426,191.63x = 504,424,167,098.06
  5. Step 5: Solve for x
    x = 504,424,167,098.06/426,191.63
  6. Step 6: Final answer
    x = 1,183,561.89

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.