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Finding the Third Proportional to 407,029.50 and 598,347.75

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Solution

The third proportional to 407,029.50 and 598,347.75 is: 879,592.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,029.50 : 598,347.75 = 598,347.75 : x
  2. Step 2: Convert to fraction form
    407,029.50/598,347.75 = 598,347.75/x
  3. Step 3: Cross multiply
    407,029.50x = 598,347.75 × 598,347.75
  4. Step 4: Simplify right side
    407,029.50x = 358,020,029,930.06
  5. Step 5: Solve for x
    x = 358,020,029,930.06/407,029.50
  6. Step 6: Final answer
    x = 879,592.34

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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.