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Finding the Third Proportional to 531,138 and 812,866.50

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Solution

The third proportional to 531,138 and 812,866.50 is: 1,244,030.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,138 : 812,866.50 = 812,866.50 : x
  2. Step 2: Convert to fraction form
    531,138/812,866.50 = 812,866.50/x
  3. Step 3: Cross multiply
    531,138x = 812,866.50 × 812,866.50
  4. Step 4: Simplify right side
    531,138x = 660,751,946,822.25
  5. Step 5: Solve for x
    x = 660,751,946,822.25/531,138
  6. Step 6: Final answer
    x = 1,244,030.64

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.