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Finding the Third Proportional to 435,881.25 and 585,751.50

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Solution

The third proportional to 435,881.25 and 585,751.50 is: 787,152.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,881.25 : 585,751.50 = 585,751.50 : x
  2. Step 2: Convert to fraction form
    435,881.25/585,751.50 = 585,751.50/x
  3. Step 3: Cross multiply
    435,881.25x = 585,751.50 × 585,751.50
  4. Step 4: Simplify right side
    435,881.25x = 343,104,819,752.25
  5. Step 5: Solve for x
    x = 343,104,819,752.25/435,881.25
  6. Step 6: Final answer
    x = 787,152.05

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.