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Finding the Third Proportional to 292,549.50 and 465,468.75

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Solution

The third proportional to 292,549.50 and 465,468.75 is: 740,596.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,549.50 : 465,468.75 = 465,468.75 : x
  2. Step 2: Convert to fraction form
    292,549.50/465,468.75 = 465,468.75/x
  3. Step 3: Cross multiply
    292,549.50x = 465,468.75 × 465,468.75
  4. Step 4: Simplify right side
    292,549.50x = 216,661,157,226.56
  5. Step 5: Solve for x
    x = 216,661,157,226.56/292,549.50
  6. Step 6: Final answer
    x = 740,596.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.