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Finding the Third Proportional to 407,063.25 and 598,389.75

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Solution

The third proportional to 407,063.25 and 598,389.75 is: 879,642.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,063.25 : 598,389.75 = 598,389.75 : x
  2. Step 2: Convert to fraction form
    407,063.25/598,389.75 = 598,389.75/x
  3. Step 3: Cross multiply
    407,063.25x = 598,389.75 × 598,389.75
  4. Step 4: Simplify right side
    407,063.25x = 358,070,292,905.06
  5. Step 5: Solve for x
    x = 358,070,292,905.06/407,063.25
  6. Step 6: Final answer
    x = 879,642.89

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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.