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Finding the Third Proportional to 562,352 and 801,456

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Solution

The third proportional to 562,352 and 801,456 is: 1,142,223.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,352 : 801,456 = 801,456 : x
  2. Step 2: Convert to fraction form
    562,352/801,456 = 801,456/x
  3. Step 3: Cross multiply
    562,352x = 801,456 × 801,456
  4. Step 4: Simplify right side
    562,352x = 642,331,719,936
  5. Step 5: Solve for x
    x = 642,331,719,936/562,352
  6. Step 6: Final answer
    x = 1,142,223.59

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.