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Finding the Third Proportional to 304,506 and 653,895

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Solution

The third proportional to 304,506 and 653,895 is: 1,404,171.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,506 : 653,895 = 653,895 : x
  2. Step 2: Convert to fraction form
    304,506/653,895 = 653,895/x
  3. Step 3: Cross multiply
    304,506x = 653,895 × 653,895
  4. Step 4: Simplify right side
    304,506x = 427,578,671,025
  5. Step 5: Solve for x
    x = 427,578,671,025/304,506
  6. Step 6: Final answer
    x = 1,404,171.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.