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Finding the Third Proportional to 243,582 and 531,313.50

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Solution

The third proportional to 243,582 and 531,313.50 is: 1,158,928.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,582 : 531,313.50 = 531,313.50 : x
  2. Step 2: Convert to fraction form
    243,582/531,313.50 = 531,313.50/x
  3. Step 3: Cross multiply
    243,582x = 531,313.50 × 531,313.50
  4. Step 4: Simplify right side
    243,582x = 282,294,035,282.25
  5. Step 5: Solve for x
    x = 282,294,035,282.25/243,582
  6. Step 6: Final answer
    x = 1,158,928.14

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.