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Finding the Third Proportional to 349,906 and 750,762

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Solution

The third proportional to 349,906 and 750,762 is: 1,610,842.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,906 : 750,762 = 750,762 : x
  2. Step 2: Convert to fraction form
    349,906/750,762 = 750,762/x
  3. Step 3: Cross multiply
    349,906x = 750,762 × 750,762
  4. Step 4: Simplify right side
    349,906x = 563,643,580,644
  5. Step 5: Solve for x
    x = 563,643,580,644/349,906
  6. Step 6: Final answer
    x = 1,610,842.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.