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Finding the Third Proportional to 374,001.50 and 811,411

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Solution

The third proportional to 374,001.50 and 811,411 is: 1,760,388.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,001.50 : 811,411 = 811,411 : x
  2. Step 2: Convert to fraction form
    374,001.50/811,411 = 811,411/x
  3. Step 3: Cross multiply
    374,001.50x = 811,411 × 811,411
  4. Step 4: Simplify right side
    374,001.50x = 658,387,810,921
  5. Step 5: Solve for x
    x = 658,387,810,921/374,001.50
  6. Step 6: Final answer
    x = 1,760,388.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.