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Finding the Third Proportional to 329,501 and 719,427

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Solution

The third proportional to 329,501 and 719,427 is: 1,570,784.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,501 : 719,427 = 719,427 : x
  2. Step 2: Convert to fraction form
    329,501/719,427 = 719,427/x
  3. Step 3: Cross multiply
    329,501x = 719,427 × 719,427
  4. Step 4: Simplify right side
    329,501x = 517,575,208,329
  5. Step 5: Solve for x
    x = 517,575,208,329/329,501
  6. Step 6: Final answer
    x = 1,570,784.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.