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Finding the Third Proportional to 364,084.88 and 565,297.31

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Solution

The third proportional to 364,084.88 and 565,297.31 is: 877,710.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,084.88 : 565,297.31 = 565,297.31 : x
  2. Step 2: Convert to fraction form
    364,084.88/565,297.31 = 565,297.31/x
  3. Step 3: Cross multiply
    364,084.88x = 565,297.31 × 565,297.31
  4. Step 4: Simplify right side
    364,084.88x = 319,561,051,519.72
  5. Step 5: Solve for x
    x = 319,561,051,519.72/364,084.88
  6. Step 6: Final answer
    x = 877,710.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.