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Finding the Third Proportional to 376,802 and 565,209

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Solution

The third proportional to 376,802 and 565,209 is: 847,822.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,802 : 565,209 = 565,209 : x
  2. Step 2: Convert to fraction form
    376,802/565,209 = 565,209/x
  3. Step 3: Cross multiply
    376,802x = 565,209 × 565,209
  4. Step 4: Simplify right side
    376,802x = 319,461,213,681
  5. Step 5: Solve for x
    x = 319,461,213,681/376,802
  6. Step 6: Final answer
    x = 847,822.50

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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.