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Finding the Third Proportional to 254,347.50 and 537,045

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Solution

The third proportional to 254,347.50 and 537,045 is: 1,133,949.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,347.50 : 537,045 = 537,045 : x
  2. Step 2: Convert to fraction form
    254,347.50/537,045 = 537,045/x
  3. Step 3: Cross multiply
    254,347.50x = 537,045 × 537,045
  4. Step 4: Simplify right side
    254,347.50x = 288,417,332,025
  5. Step 5: Solve for x
    x = 288,417,332,025/254,347.50
  6. Step 6: Final answer
    x = 1,133,949.94

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.