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Finding the Third Proportional to 346,902 and 756,674

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Solution

The third proportional to 346,902 and 756,674 is: 1,650,482.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,902 : 756,674 = 756,674 : x
  2. Step 2: Convert to fraction form
    346,902/756,674 = 756,674/x
  3. Step 3: Cross multiply
    346,902x = 756,674 × 756,674
  4. Step 4: Simplify right side
    346,902x = 572,555,542,276
  5. Step 5: Solve for x
    x = 572,555,542,276/346,902
  6. Step 6: Final answer
    x = 1,650,482.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.