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Finding the Third Proportional to 364,554 and 570,726

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Solution

The third proportional to 364,554 and 570,726 is: 893,497.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,554 : 570,726 = 570,726 : x
  2. Step 2: Convert to fraction form
    364,554/570,726 = 570,726/x
  3. Step 3: Cross multiply
    364,554x = 570,726 × 570,726
  4. Step 4: Simplify right side
    364,554x = 325,728,167,076
  5. Step 5: Solve for x
    x = 325,728,167,076/364,554
  6. Step 6: Final answer
    x = 893,497.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.