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Finding the Third Proportional to 329,491.13 and 719,398.13

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Solution

The third proportional to 329,491.13 and 719,398.13 is: 1,570,705.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,491.13 : 719,398.13 = 719,398.13 : x
  2. Step 2: Convert to fraction form
    329,491.13/719,398.13 = 719,398.13/x
  3. Step 3: Cross multiply
    329,491.13x = 719,398.13 × 719,398.13
  4. Step 4: Simplify right side
    329,491.13x = 517,533,662,253.52
  5. Step 5: Solve for x
    x = 517,533,662,253.52/329,491.13
  6. Step 6: Final answer
    x = 1,570,705.92

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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.