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Finding the Third Proportional to 407,031.75 and 598,352.06

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Solution

The third proportional to 407,031.75 and 598,352.06 is: 879,600.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,031.75 : 598,352.06 = 598,352.06 : x
  2. Step 2: Convert to fraction form
    407,031.75/598,352.06 = 598,352.06/x
  3. Step 3: Cross multiply
    407,031.75x = 598,352.06 × 598,352.06
  4. Step 4: Simplify right side
    407,031.75x = 358,025,190,698.00
  5. Step 5: Solve for x
    x = 358,025,190,698.00/407,031.75
  6. Step 6: Final answer
    x = 879,600.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.