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Finding the Third Proportional to 709,018.31 and 1,071,967.50

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Solution

The third proportional to 709,018.31 and 1,071,967.50 is: 1,620,711.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,018.31 : 1,071,967.50 = 1,071,967.50 : x
  2. Step 2: Convert to fraction form
    709,018.31/1,071,967.50 = 1,071,967.50/x
  3. Step 3: Cross multiply
    709,018.31x = 1,071,967.50 × 1,071,967.50
  4. Step 4: Simplify right side
    709,018.31x = 1,149,114,321,056.25
  5. Step 5: Solve for x
    x = 1,149,114,321,056.25/709,018.31
  6. Step 6: Final answer
    x = 1,620,711.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.