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Finding the Third Proportional to 255,475.13 and 537,415.88

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Solution

The third proportional to 255,475.13 and 537,415.88 is: 1,130,504.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,475.13 : 537,415.88 = 537,415.88 : x
  2. Step 2: Convert to fraction form
    255,475.13/537,415.88 = 537,415.88/x
  3. Step 3: Cross multiply
    255,475.13x = 537,415.88 × 537,415.88
  4. Step 4: Simplify right side
    255,475.13x = 288,815,822,702.02
  5. Step 5: Solve for x
    x = 288,815,822,702.02/255,475.13
  6. Step 6: Final answer
    x = 1,130,504.67

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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.