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Finding the Third Proportional to 540,810 and 848,332.50

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Solution

The third proportional to 540,810 and 848,332.50 is: 1,330,722.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,810 : 848,332.50 = 848,332.50 : x
  2. Step 2: Convert to fraction form
    540,810/848,332.50 = 848,332.50/x
  3. Step 3: Cross multiply
    540,810x = 848,332.50 × 848,332.50
  4. Step 4: Simplify right side
    540,810x = 719,668,030,556.25
  5. Step 5: Solve for x
    x = 719,668,030,556.25/540,810
  6. Step 6: Final answer
    x = 1,330,722.49

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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.