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Finding the Third Proportional to 329,535 and 719,478

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Solution

The third proportional to 329,535 and 719,478 is: 1,570,845.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,535 : 719,478 = 719,478 : x
  2. Step 2: Convert to fraction form
    329,535/719,478 = 719,478/x
  3. Step 3: Cross multiply
    329,535x = 719,478 × 719,478
  4. Step 4: Simplify right side
    329,535x = 517,648,592,484
  5. Step 5: Solve for x
    x = 517,648,592,484/329,535
  6. Step 6: Final answer
    x = 1,570,845.56

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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.