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Finding the Third Proportional to 346,457 and 759,118

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Solution

The third proportional to 346,457 and 759,118 is: 1,663,294.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,457 : 759,118 = 759,118 : x
  2. Step 2: Convert to fraction form
    346,457/759,118 = 759,118/x
  3. Step 3: Cross multiply
    346,457x = 759,118 × 759,118
  4. Step 4: Simplify right side
    346,457x = 576,260,137,924
  5. Step 5: Solve for x
    x = 576,260,137,924/346,457
  6. Step 6: Final answer
    x = 1,663,294.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.