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Finding the Third Proportional to 356,996 and 750,805

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Solution

The third proportional to 356,996 and 750,805 is: 1,579,032.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,996 : 750,805 = 750,805 : x
  2. Step 2: Convert to fraction form
    356,996/750,805 = 750,805/x
  3. Step 3: Cross multiply
    356,996x = 750,805 × 750,805
  4. Step 4: Simplify right side
    356,996x = 563,708,148,025
  5. Step 5: Solve for x
    x = 563,708,148,025/356,996
  6. Step 6: Final answer
    x = 1,579,032.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.