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Finding the Third Proportional to 574,650 and 909,483

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Solution

The third proportional to 574,650 and 909,483 is: 1,439,414.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,650 : 909,483 = 909,483 : x
  2. Step 2: Convert to fraction form
    574,650/909,483 = 909,483/x
  3. Step 3: Cross multiply
    574,650x = 909,483 × 909,483
  4. Step 4: Simplify right side
    574,650x = 827,159,327,289
  5. Step 5: Solve for x
    x = 827,159,327,289/574,650
  6. Step 6: Final answer
    x = 1,439,414.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.