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Finding the Third Proportional to 564,264 and 765,477

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Solution

The third proportional to 564,264 and 765,477 is: 1,038,441.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,264 : 765,477 = 765,477 : x
  2. Step 2: Convert to fraction form
    564,264/765,477 = 765,477/x
  3. Step 3: Cross multiply
    564,264x = 765,477 × 765,477
  4. Step 4: Simplify right side
    564,264x = 585,955,037,529
  5. Step 5: Solve for x
    x = 585,955,037,529/564,264
  6. Step 6: Final answer
    x = 1,038,441.29

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.