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Finding the Third Proportional to 581,665.50 and 1,230,396

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Solution

The third proportional to 581,665.50 and 1,230,396 is: 2,602,654.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,665.50 : 1,230,396 = 1,230,396 : x
  2. Step 2: Convert to fraction form
    581,665.50/1,230,396 = 1,230,396/x
  3. Step 3: Cross multiply
    581,665.50x = 1,230,396 × 1,230,396
  4. Step 4: Simplify right side
    581,665.50x = 1,513,874,316,816
  5. Step 5: Solve for x
    x = 1,513,874,316,816/581,665.50
  6. Step 6: Final answer
    x = 2,602,654.48

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.