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Finding the Third Proportional to 514,768 and 808,344

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Solution

The third proportional to 514,768 and 808,344 is: 1,269,348.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,768 : 808,344 = 808,344 : x
  2. Step 2: Convert to fraction form
    514,768/808,344 = 808,344/x
  3. Step 3: Cross multiply
    514,768x = 808,344 × 808,344
  4. Step 4: Simplify right side
    514,768x = 653,420,022,336
  5. Step 5: Solve for x
    x = 653,420,022,336/514,768
  6. Step 6: Final answer
    x = 1,269,348.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.