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Finding the Third Proportional to 564,085.50 and 1,206,886.50

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Solution

The third proportional to 564,085.50 and 1,206,886.50 is: 2,582,188.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,085.50 : 1,206,886.50 = 1,206,886.50 : x
  2. Step 2: Convert to fraction form
    564,085.50/1,206,886.50 = 1,206,886.50/x
  3. Step 3: Cross multiply
    564,085.50x = 1,206,886.50 × 1,206,886.50
  4. Step 4: Simplify right side
    564,085.50x = 1,456,575,023,882.25
  5. Step 5: Solve for x
    x = 1,456,575,023,882.25/564,085.50
  6. Step 6: Final answer
    x = 2,582,188.38

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.