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Finding the Third Proportional to 353,760.75 and 732,854.25

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Solution

The third proportional to 353,760.75 and 732,854.25 is: 1,518,188.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,760.75 : 732,854.25 = 732,854.25 : x
  2. Step 2: Convert to fraction form
    353,760.75/732,854.25 = 732,854.25/x
  3. Step 3: Cross multiply
    353,760.75x = 732,854.25 × 732,854.25
  4. Step 4: Simplify right side
    353,760.75x = 537,075,351,743.06
  5. Step 5: Solve for x
    x = 537,075,351,743.06/353,760.75
  6. Step 6: Final answer
    x = 1,518,188.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.