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Finding the Third Proportional to 562,345 and 801,447

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Solution

The third proportional to 562,345 and 801,447 is: 1,142,212.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,345 : 801,447 = 801,447 : x
  2. Step 2: Convert to fraction form
    562,345/801,447 = 801,447/x
  3. Step 3: Cross multiply
    562,345x = 801,447 × 801,447
  4. Step 4: Simplify right side
    562,345x = 642,317,293,809
  5. Step 5: Solve for x
    x = 642,317,293,809/562,345
  6. Step 6: Final answer
    x = 1,142,212.15

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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.