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Finding the Third Proportional to 550,570.50 and 740,967.75

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Solution

The third proportional to 550,570.50 and 740,967.75 is: 997,207.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,570.50 : 740,967.75 = 740,967.75 : x
  2. Step 2: Convert to fraction form
    550,570.50/740,967.75 = 740,967.75/x
  3. Step 3: Cross multiply
    550,570.50x = 740,967.75 × 740,967.75
  4. Step 4: Simplify right side
    550,570.50x = 549,033,206,540.06
  5. Step 5: Solve for x
    x = 549,033,206,540.06/550,570.50
  6. Step 6: Final answer
    x = 997,207.82

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.