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Finding the Third Proportional to 528,722 and 753,717

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Solution

The third proportional to 528,722 and 753,717 is: 1,074,457.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,722 : 753,717 = 753,717 : x
  2. Step 2: Convert to fraction form
    528,722/753,717 = 753,717/x
  3. Step 3: Cross multiply
    528,722x = 753,717 × 753,717
  4. Step 4: Simplify right side
    528,722x = 568,089,316,089
  5. Step 5: Solve for x
    x = 568,089,316,089/528,722
  6. Step 6: Final answer
    x = 1,074,457.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.