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Finding the Third Proportional to 374,854.50 and 535,668.75

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Solution

The third proportional to 374,854.50 and 535,668.75 is: 765,473.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,854.50 : 535,668.75 = 535,668.75 : x
  2. Step 2: Convert to fraction form
    374,854.50/535,668.75 = 535,668.75/x
  3. Step 3: Cross multiply
    374,854.50x = 535,668.75 × 535,668.75
  4. Step 4: Simplify right side
    374,854.50x = 286,941,009,726.56
  5. Step 5: Solve for x
    x = 286,941,009,726.56/374,854.50
  6. Step 6: Final answer
    x = 765,473.03

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.