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Finding the Third Proportional to 376,801 and 565,207.50

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Solution

The third proportional to 376,801 and 565,207.50 is: 847,820.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,801 : 565,207.50 = 565,207.50 : x
  2. Step 2: Convert to fraction form
    376,801/565,207.50 = 565,207.50/x
  3. Step 3: Cross multiply
    376,801x = 565,207.50 × 565,207.50
  4. Step 4: Simplify right side
    376,801x = 319,459,518,056.25
  5. Step 5: Solve for x
    x = 319,459,518,056.25/376,801
  6. Step 6: Final answer
    x = 847,820.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.