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Finding the Third Proportional to 346,052 and 750,856

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Solution

The third proportional to 346,052 and 750,856 is: 1,629,190.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,052 : 750,856 = 750,856 : x
  2. Step 2: Convert to fraction form
    346,052/750,856 = 750,856/x
  3. Step 3: Cross multiply
    346,052x = 750,856 × 750,856
  4. Step 4: Simplify right side
    346,052x = 563,784,732,736
  5. Step 5: Solve for x
    x = 563,784,732,736/346,052
  6. Step 6: Final answer
    x = 1,629,190.79

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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.