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Finding the Third Proportional to 304,159.50 and 627,597

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Solution

The third proportional to 304,159.50 and 627,597 is: 1,294,971.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,159.50 : 627,597 = 627,597 : x
  2. Step 2: Convert to fraction form
    304,159.50/627,597 = 627,597/x
  3. Step 3: Cross multiply
    304,159.50x = 627,597 × 627,597
  4. Step 4: Simplify right side
    304,159.50x = 393,877,994,409
  5. Step 5: Solve for x
    x = 393,877,994,409/304,159.50
  6. Step 6: Final answer
    x = 1,294,971.86

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.