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Finding the Third Proportional to 304,047 and 652,372.50

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Solution

The third proportional to 304,047 and 652,372.50 is: 1,399,750.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,047 : 652,372.50 = 652,372.50 : x
  2. Step 2: Convert to fraction form
    304,047/652,372.50 = 652,372.50/x
  3. Step 3: Cross multiply
    304,047x = 652,372.50 × 652,372.50
  4. Step 4: Simplify right side
    304,047x = 425,589,878,756.25
  5. Step 5: Solve for x
    x = 425,589,878,756.25/304,047
  6. Step 6: Final answer
    x = 1,399,750.30

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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.