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Finding the Third Proportional to 346,746 and 759,588

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Solution

The third proportional to 346,746 and 759,588 is: 1,663,967.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,746 : 759,588 = 759,588 : x
  2. Step 2: Convert to fraction form
    346,746/759,588 = 759,588/x
  3. Step 3: Cross multiply
    346,746x = 759,588 × 759,588
  4. Step 4: Simplify right side
    346,746x = 576,973,929,744
  5. Step 5: Solve for x
    x = 576,973,929,744/346,746
  6. Step 6: Final answer
    x = 1,663,967.08

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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.