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Finding the Third Proportional to 514,719.50 and 742,545.75

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Solution

The third proportional to 514,719.50 and 742,545.75 is: 1,071,212.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,719.50 : 742,545.75 = 742,545.75 : x
  2. Step 2: Convert to fraction form
    514,719.50/742,545.75 = 742,545.75/x
  3. Step 3: Cross multiply
    514,719.50x = 742,545.75 × 742,545.75
  4. Step 4: Simplify right side
    514,719.50x = 551,374,190,843.06
  5. Step 5: Solve for x
    x = 551,374,190,843.06/514,719.50
  6. Step 6: Final answer
    x = 1,071,212.94

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Why These Related Problems?

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