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Finding the Third Proportional to 521,802 and 807,354

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Solution

The third proportional to 521,802 and 807,354 is: 1,249,172.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,802 : 807,354 = 807,354 : x
  2. Step 2: Convert to fraction form
    521,802/807,354 = 807,354/x
  3. Step 3: Cross multiply
    521,802x = 807,354 × 807,354
  4. Step 4: Simplify right side
    521,802x = 651,820,481,316
  5. Step 5: Solve for x
    x = 651,820,481,316/521,802
  6. Step 6: Final answer
    x = 1,249,172.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.