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Finding the Third Proportional to 470,812.50 and 707,271.75

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Solution

The third proportional to 470,812.50 and 707,271.75 is: 1,062,489.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,812.50 : 707,271.75 = 707,271.75 : x
  2. Step 2: Convert to fraction form
    470,812.50/707,271.75 = 707,271.75/x
  3. Step 3: Cross multiply
    470,812.50x = 707,271.75 × 707,271.75
  4. Step 4: Simplify right side
    470,812.50x = 500,233,328,348.06
  5. Step 5: Solve for x
    x = 500,233,328,348.06/470,812.50
  6. Step 6: Final answer
    x = 1,062,489.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.