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Finding the Third Proportional to 591,853.50 and 915,403.50

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Solution

The third proportional to 591,853.50 and 915,403.50 is: 1,415,829.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,853.50 : 915,403.50 = 915,403.50 : x
  2. Step 2: Convert to fraction form
    591,853.50/915,403.50 = 915,403.50/x
  3. Step 3: Cross multiply
    591,853.50x = 915,403.50 × 915,403.50
  4. Step 4: Simplify right side
    591,853.50x = 837,963,567,812.25
  5. Step 5: Solve for x
    x = 837,963,567,812.25/591,853.50
  6. Step 6: Final answer
    x = 1,415,829.37

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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.