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Finding the Third Proportional to 583,321.50 and 952,506

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Solution

The third proportional to 583,321.50 and 952,506 is: 1,555,347.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,321.50 : 952,506 = 952,506 : x
  2. Step 2: Convert to fraction form
    583,321.50/952,506 = 952,506/x
  3. Step 3: Cross multiply
    583,321.50x = 952,506 × 952,506
  4. Step 4: Simplify right side
    583,321.50x = 907,267,680,036
  5. Step 5: Solve for x
    x = 907,267,680,036/583,321.50
  6. Step 6: Final answer
    x = 1,555,347.57

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.