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Finding the Third Proportional to 458,995.50 and 712,471.50

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Solution

The third proportional to 458,995.50 and 712,471.50 is: 1,105,927.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,995.50 : 712,471.50 = 712,471.50 : x
  2. Step 2: Convert to fraction form
    458,995.50/712,471.50 = 712,471.50/x
  3. Step 3: Cross multiply
    458,995.50x = 712,471.50 × 712,471.50
  4. Step 4: Simplify right side
    458,995.50x = 507,615,638,312.25
  5. Step 5: Solve for x
    x = 507,615,638,312.25/458,995.50
  6. Step 6: Final answer
    x = 1,105,927.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.