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Finding the Third Proportional to 346,564 and 759,304

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Solution

The third proportional to 346,564 and 759,304 is: 1,663,596.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,564 : 759,304 = 759,304 : x
  2. Step 2: Convert to fraction form
    346,564/759,304 = 759,304/x
  3. Step 3: Cross multiply
    346,564x = 759,304 × 759,304
  4. Step 4: Simplify right side
    346,564x = 576,542,564,416
  5. Step 5: Solve for x
    x = 576,542,564,416/346,564
  6. Step 6: Final answer
    x = 1,663,596.23

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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.