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Finding the Third Proportional to 520,846.50 and 1,141,402.50

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Solution

The third proportional to 520,846.50 and 1,141,402.50 is: 2,501,312.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,846.50 : 1,141,402.50 = 1,141,402.50 : x
  2. Step 2: Convert to fraction form
    520,846.50/1,141,402.50 = 1,141,402.50/x
  3. Step 3: Cross multiply
    520,846.50x = 1,141,402.50 × 1,141,402.50
  4. Step 4: Simplify right side
    520,846.50x = 1,302,799,667,006.25
  5. Step 5: Solve for x
    x = 1,302,799,667,006.25/520,846.50
  6. Step 6: Final answer
    x = 2,501,312.13

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.