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Finding the Third Proportional to 272,762.75 and 592,739.65

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Solution

The third proportional to 272,762.75 and 592,739.65 is: 1,288,080.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,762.75 : 592,739.65 = 592,739.65 : x
  2. Step 2: Convert to fraction form
    272,762.75/592,739.65 = 592,739.65/x
  3. Step 3: Cross multiply
    272,762.75x = 592,739.65 × 592,739.65
  4. Step 4: Simplify right side
    272,762.75x = 351,340,290,829.81
  5. Step 5: Solve for x
    x = 351,340,290,829.81/272,762.75
  6. Step 6: Final answer
    x = 1,288,080.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.