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Finding the Third Proportional to 364,582.13 and 570,619.69

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Solution

The third proportional to 364,582.13 and 570,619.69 is: 893,095.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,582.13 : 570,619.69 = 570,619.69 : x
  2. Step 2: Convert to fraction form
    364,582.13/570,619.69 = 570,619.69/x
  3. Step 3: Cross multiply
    364,582.13x = 570,619.69 × 570,619.69
  4. Step 4: Simplify right side
    364,582.13x = 325,606,827,762.60
  5. Step 5: Solve for x
    x = 325,606,827,762.60/364,582.13
  6. Step 6: Final answer
    x = 893,095.97

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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.