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Finding the Third Proportional to 304,320 and 653,487

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Solution

The third proportional to 304,320 and 653,487 is: 1,403,277.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,320 : 653,487 = 653,487 : x
  2. Step 2: Convert to fraction form
    304,320/653,487 = 653,487/x
  3. Step 3: Cross multiply
    304,320x = 653,487 × 653,487
  4. Step 4: Simplify right side
    304,320x = 427,045,259,169
  5. Step 5: Solve for x
    x = 427,045,259,169/304,320
  6. Step 6: Final answer
    x = 1,403,277.01

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