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Finding the Third Proportional to 360,729 and 562,927.50

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Solution

The third proportional to 360,729 and 562,927.50 is: 878,463.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,729 : 562,927.50 = 562,927.50 : x
  2. Step 2: Convert to fraction form
    360,729/562,927.50 = 562,927.50/x
  3. Step 3: Cross multiply
    360,729x = 562,927.50 × 562,927.50
  4. Step 4: Simplify right side
    360,729x = 316,887,370,256.25
  5. Step 5: Solve for x
    x = 316,887,370,256.25/360,729
  6. Step 6: Final answer
    x = 878,463.81

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.