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Finding the Third Proportional to 562,047.50 and 857,077

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Solution

The third proportional to 562,047.50 and 857,077 is: 1,306,973.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,047.50 : 857,077 = 857,077 : x
  2. Step 2: Convert to fraction form
    562,047.50/857,077 = 857,077/x
  3. Step 3: Cross multiply
    562,047.50x = 857,077 × 857,077
  4. Step 4: Simplify right side
    562,047.50x = 734,580,983,929
  5. Step 5: Solve for x
    x = 734,580,983,929/562,047.50
  6. Step 6: Final answer
    x = 1,306,973.14

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.