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Finding the Third Proportional to 366,674 and 583,457

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Solution

The third proportional to 366,674 and 583,457 is: 928,405.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,674 : 583,457 = 583,457 : x
  2. Step 2: Convert to fraction form
    366,674/583,457 = 583,457/x
  3. Step 3: Cross multiply
    366,674x = 583,457 × 583,457
  4. Step 4: Simplify right side
    366,674x = 340,422,070,849
  5. Step 5: Solve for x
    x = 340,422,070,849/366,674
  6. Step 6: Final answer
    x = 928,405.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.