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Finding the Third Proportional to 373,626 and 537,084

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Solution

The third proportional to 373,626 and 537,084 is: 772,053.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,626 : 537,084 = 537,084 : x
  2. Step 2: Convert to fraction form
    373,626/537,084 = 537,084/x
  3. Step 3: Cross multiply
    373,626x = 537,084 × 537,084
  4. Step 4: Simplify right side
    373,626x = 288,459,223,056
  5. Step 5: Solve for x
    x = 288,459,223,056/373,626
  6. Step 6: Final answer
    x = 772,053.40

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.