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Finding the Third Proportional to 536,212.41 and 750,004.31

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Solution

The third proportional to 536,212.41 and 750,004.31 is: 1,049,036.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,212.41 : 750,004.31 = 750,004.31 : x
  2. Step 2: Convert to fraction form
    536,212.41/750,004.31 = 750,004.31/x
  3. Step 3: Cross multiply
    536,212.41x = 750,004.31 × 750,004.31
  4. Step 4: Simplify right side
    536,212.41x = 562,506,468,768.60
  5. Step 5: Solve for x
    x = 562,506,468,768.60/536,212.41
  6. Step 6: Final answer
    x = 1,049,036.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.