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Finding the Third Proportional to 374,560 and 801,608

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Solution

The third proportional to 374,560 and 801,608 is: 1,715,547.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,560 : 801,608 = 801,608 : x
  2. Step 2: Convert to fraction form
    374,560/801,608 = 801,608/x
  3. Step 3: Cross multiply
    374,560x = 801,608 × 801,608
  4. Step 4: Simplify right side
    374,560x = 642,575,385,664
  5. Step 5: Solve for x
    x = 642,575,385,664/374,560
  6. Step 6: Final answer
    x = 1,715,547.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.