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Finding the Third Proportional to 271,673,428.50 and 423,652,659.75

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Solution

The third proportional to 271,673,428.50 and 423,652,659.75 is: 660,651,934.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,673,428.50 : 423,652,659.75 = 423,652,659.75 : x
  2. Step 2: Convert to fraction form
    271,673,428.50/423,652,659.75 = 423,652,659.75/x
  3. Step 3: Cross multiply
    271,673,428.50x = 423,652,659.75 × 423,652,659.75
  4. Step 4: Simplify right side
    271,673,428.50x = 179,481,576,113,249,280
  5. Step 5: Solve for x
    x = 179,481,576,113,249,280/271,673,428.50
  6. Step 6: Final answer
    x = 660,651,934.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.