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Finding the Third Proportional to 356,997 and 750,807

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Solution

The third proportional to 356,997 and 750,807 is: 1,579,036.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,997 : 750,807 = 750,807 : x
  2. Step 2: Convert to fraction form
    356,997/750,807 = 750,807/x
  3. Step 3: Cross multiply
    356,997x = 750,807 × 750,807
  4. Step 4: Simplify right side
    356,997x = 563,711,151,249
  5. Step 5: Solve for x
    x = 563,711,151,249/356,997
  6. Step 6: Final answer
    x = 1,579,036.10

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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.