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Finding the Third Proportional to 368,772.50 and 569,536

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Solution

The third proportional to 368,772.50 and 569,536 is: 879,597.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,772.50 : 569,536 = 569,536 : x
  2. Step 2: Convert to fraction form
    368,772.50/569,536 = 569,536/x
  3. Step 3: Cross multiply
    368,772.50x = 569,536 × 569,536
  4. Step 4: Simplify right side
    368,772.50x = 324,371,255,296
  5. Step 5: Solve for x
    x = 324,371,255,296/368,772.50
  6. Step 6: Final answer
    x = 879,597.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.