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Finding the Third Proportional to 514,706 and 742,532

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Solution

The third proportional to 514,706 and 742,532 is: 1,071,201.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,706 : 742,532 = 742,532 : x
  2. Step 2: Convert to fraction form
    514,706/742,532 = 742,532/x
  3. Step 3: Cross multiply
    514,706x = 742,532 × 742,532
  4. Step 4: Simplify right side
    514,706x = 551,353,771,024
  5. Step 5: Solve for x
    x = 551,353,771,024/514,706
  6. Step 6: Final answer
    x = 1,071,201.37

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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.