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Finding the Third Proportional to 535,239.75 and 830,061.38

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Solution

The third proportional to 535,239.75 and 830,061.38 is: 1,287,277.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,239.75 : 830,061.38 = 830,061.38 : x
  2. Step 2: Convert to fraction form
    535,239.75/830,061.38 = 830,061.38/x
  3. Step 3: Cross multiply
    535,239.75x = 830,061.38 × 830,061.38
  4. Step 4: Simplify right side
    535,239.75x = 689,001,886,266.89
  5. Step 5: Solve for x
    x = 689,001,886,266.89/535,239.75
  6. Step 6: Final answer
    x = 1,287,277.12

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.