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Finding the Third Proportional to 329,486 and 719,389

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Solution

The third proportional to 329,486 and 719,389 is: 1,570,690.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,486 : 719,389 = 719,389 : x
  2. Step 2: Convert to fraction form
    329,486/719,389 = 719,389/x
  3. Step 3: Cross multiply
    329,486x = 719,389 × 719,389
  4. Step 4: Simplify right side
    329,486x = 517,520,533,321
  5. Step 5: Solve for x
    x = 517,520,533,321/329,486
  6. Step 6: Final answer
    x = 1,570,690.51

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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.