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Finding the Third Proportional to 304,641 and 668,358

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Solution

The third proportional to 304,641 and 668,358 is: 1,466,324.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,641 : 668,358 = 668,358 : x
  2. Step 2: Convert to fraction form
    304,641/668,358 = 668,358/x
  3. Step 3: Cross multiply
    304,641x = 668,358 × 668,358
  4. Step 4: Simplify right side
    304,641x = 446,702,416,164
  5. Step 5: Solve for x
    x = 446,702,416,164/304,641
  6. Step 6: Final answer
    x = 1,466,324.02

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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.