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Finding the Third Proportional to 580,648.50 and 912,444.75

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Solution

The third proportional to 580,648.50 and 912,444.75 is: 1,433,837.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,648.50 : 912,444.75 = 912,444.75 : x
  2. Step 2: Convert to fraction form
    580,648.50/912,444.75 = 912,444.75/x
  3. Step 3: Cross multiply
    580,648.50x = 912,444.75 × 912,444.75
  4. Step 4: Simplify right side
    580,648.50x = 832,555,421,802.56
  5. Step 5: Solve for x
    x = 832,555,421,802.56/580,648.50
  6. Step 6: Final answer
    x = 1,433,837.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.