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Finding the Third Proportional to 359,268.75 and 598,752

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Solution

The third proportional to 359,268.75 and 598,752 is: 997,871.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,268.75 : 598,752 = 598,752 : x
  2. Step 2: Convert to fraction form
    359,268.75/598,752 = 598,752/x
  3. Step 3: Cross multiply
    359,268.75x = 598,752 × 598,752
  4. Step 4: Simplify right side
    359,268.75x = 358,503,957,504
  5. Step 5: Solve for x
    x = 358,503,957,504/359,268.75
  6. Step 6: Final answer
    x = 997,871.25

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.