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Finding the Third Proportional to 407,015.63 and 598,329

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Solution

The third proportional to 407,015.63 and 598,329 is: 879,567.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,015.63 : 598,329 = 598,329 : x
  2. Step 2: Convert to fraction form
    407,015.63/598,329 = 598,329/x
  3. Step 3: Cross multiply
    407,015.63x = 598,329 × 598,329
  4. Step 4: Simplify right side
    407,015.63x = 357,997,592,241
  5. Step 5: Solve for x
    x = 357,997,592,241/407,015.63
  6. Step 6: Final answer
    x = 879,567.20

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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.