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Finding the Third Proportional to 329,386.50 and 719,010

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Solution

The third proportional to 329,386.50 and 719,010 is: 1,569,509.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,386.50 : 719,010 = 719,010 : x
  2. Step 2: Convert to fraction form
    329,386.50/719,010 = 719,010/x
  3. Step 3: Cross multiply
    329,386.50x = 719,010 × 719,010
  4. Step 4: Simplify right side
    329,386.50x = 516,975,380,100
  5. Step 5: Solve for x
    x = 516,975,380,100/329,386.50
  6. Step 6: Final answer
    x = 1,569,509.92

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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.