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Finding the Third Proportional to 514,720 and 742,546.50

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Solution

The third proportional to 514,720 and 742,546.50 is: 1,071,214.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,720 : 742,546.50 = 742,546.50 : x
  2. Step 2: Convert to fraction form
    514,720/742,546.50 = 742,546.50/x
  3. Step 3: Cross multiply
    514,720x = 742,546.50 × 742,546.50
  4. Step 4: Simplify right side
    514,720x = 551,375,304,662.25
  5. Step 5: Solve for x
    x = 551,375,304,662.25/514,720
  6. Step 6: Final answer
    x = 1,071,214.07

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.