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Finding the Third Proportional to 272,775 and 592,762.50

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Solution

The third proportional to 272,775 and 592,762.50 is: 1,288,121.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,775 : 592,762.50 = 592,762.50 : x
  2. Step 2: Convert to fraction form
    272,775/592,762.50 = 592,762.50/x
  3. Step 3: Cross multiply
    272,775x = 592,762.50 × 592,762.50
  4. Step 4: Simplify right side
    272,775x = 351,367,381,406.25
  5. Step 5: Solve for x
    x = 351,367,381,406.25/272,775
  6. Step 6: Final answer
    x = 1,288,121.64

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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.