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Finding the Third Proportional to 255,624 and 537,682.50

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Solution

The third proportional to 255,624 and 537,682.50 is: 1,130,967.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,624 : 537,682.50 = 537,682.50 : x
  2. Step 2: Convert to fraction form
    255,624/537,682.50 = 537,682.50/x
  3. Step 3: Cross multiply
    255,624x = 537,682.50 × 537,682.50
  4. Step 4: Simplify right side
    255,624x = 289,102,470,806.25
  5. Step 5: Solve for x
    x = 289,102,470,806.25/255,624
  6. Step 6: Final answer
    x = 1,130,967.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.