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Finding the Third Proportional to 430,914.94 and 652,371.47

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Solution

The third proportional to 430,914.94 and 652,371.47 is: 987,639.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,914.94 : 652,371.47 = 652,371.47 : x
  2. Step 2: Convert to fraction form
    430,914.94/652,371.47 = 652,371.47/x
  3. Step 3: Cross multiply
    430,914.94x = 652,371.47 × 652,371.47
  4. Step 4: Simplify right side
    430,914.94x = 425,588,533,239.03
  5. Step 5: Solve for x
    x = 425,588,533,239.03/430,914.94
  6. Step 6: Final answer
    x = 987,639.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.