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Finding the Third Proportional to 687,830.75 and 917,353.75

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Solution

The third proportional to 687,830.75 and 917,353.75 is: 1,223,466.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,830.75 : 917,353.75 = 917,353.75 : x
  2. Step 2: Convert to fraction form
    687,830.75/917,353.75 = 917,353.75/x
  3. Step 3: Cross multiply
    687,830.75x = 917,353.75 × 917,353.75
  4. Step 4: Simplify right side
    687,830.75x = 841,537,902,639.06
  5. Step 5: Solve for x
    x = 841,537,902,639.06/687,830.75
  6. Step 6: Final answer
    x = 1,223,466.53

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.