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Finding the Third Proportional to 333,117 and 724,666.50

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Solution

The third proportional to 333,117 and 724,666.50 is: 1,576,447.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,117 : 724,666.50 = 724,666.50 : x
  2. Step 2: Convert to fraction form
    333,117/724,666.50 = 724,666.50/x
  3. Step 3: Cross multiply
    333,117x = 724,666.50 × 724,666.50
  4. Step 4: Simplify right side
    333,117x = 525,141,536,222.25
  5. Step 5: Solve for x
    x = 525,141,536,222.25/333,117
  6. Step 6: Final answer
    x = 1,576,447.72

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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.