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Finding the Third Proportional to 581,647.50 and 1,230,359.63

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Solution

The third proportional to 581,647.50 and 1,230,359.63 is: 2,602,581.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,647.50 : 1,230,359.63 = 1,230,359.63 : x
  2. Step 2: Convert to fraction form
    581,647.50/1,230,359.63 = 1,230,359.63/x
  3. Step 3: Cross multiply
    581,647.50x = 1,230,359.63 × 1,230,359.63
  4. Step 4: Simplify right side
    581,647.50x = 1,513,784,806,830.14
  5. Step 5: Solve for x
    x = 1,513,784,806,830.14/581,647.50
  6. Step 6: Final answer
    x = 2,602,581.13

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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.