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Finding the Third Proportional to 364,568 and 570,746

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Solution

The third proportional to 364,568 and 570,746 is: 893,526.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,568 : 570,746 = 570,746 : x
  2. Step 2: Convert to fraction form
    364,568/570,746 = 570,746/x
  3. Step 3: Cross multiply
    364,568x = 570,746 × 570,746
  4. Step 4: Simplify right side
    364,568x = 325,750,996,516
  5. Step 5: Solve for x
    x = 325,750,996,516/364,568
  6. Step 6: Final answer
    x = 893,526.03

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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.