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Finding the Third Proportional to 514,726.03 and 742,555.55

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Solution

The third proportional to 514,726.03 and 742,555.55 is: 1,071,227.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,726.03 : 742,555.55 = 742,555.55 : x
  2. Step 2: Convert to fraction form
    514,726.03/742,555.55 = 742,555.55/x
  3. Step 3: Cross multiply
    514,726.03x = 742,555.55 × 742,555.55
  4. Step 4: Simplify right side
    514,726.03x = 551,388,740,194.83
  5. Step 5: Solve for x
    x = 551,388,740,194.83/514,726.03
  6. Step 6: Final answer
    x = 1,071,227.62

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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.