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Finding the Third Proportional to 562,242 and 801,315

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Solution

The third proportional to 562,242 and 801,315 is: 1,142,045.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,242 : 801,315 = 801,315 : x
  2. Step 2: Convert to fraction form
    562,242/801,315 = 801,315/x
  3. Step 3: Cross multiply
    562,242x = 801,315 × 801,315
  4. Step 4: Simplify right side
    562,242x = 642,105,729,225
  5. Step 5: Solve for x
    x = 642,105,729,225/562,242
  6. Step 6: Final answer
    x = 1,142,045.11

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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.