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Finding the Third Proportional to 292,133 and 437,032

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Solution

The third proportional to 292,133 and 437,032 is: 653,801.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,133 : 437,032 = 437,032 : x
  2. Step 2: Convert to fraction form
    292,133/437,032 = 437,032/x
  3. Step 3: Cross multiply
    292,133x = 437,032 × 437,032
  4. Step 4: Simplify right side
    292,133x = 190,996,969,024
  5. Step 5: Solve for x
    x = 190,996,969,024/292,133
  6. Step 6: Final answer
    x = 653,801.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.