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Finding the Third Proportional to 364,583.63 and 570,622.13

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Solution

The third proportional to 364,583.63 and 570,622.13 is: 893,099.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,583.63 : 570,622.13 = 570,622.13 : x
  2. Step 2: Convert to fraction form
    364,583.63/570,622.13 = 570,622.13/x
  3. Step 3: Cross multiply
    364,583.63x = 570,622.13 × 570,622.13
  4. Step 4: Simplify right side
    364,583.63x = 325,609,609,539.52
  5. Step 5: Solve for x
    x = 325,609,609,539.52/364,583.63
  6. Step 6: Final answer
    x = 893,099.93

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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.