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Finding the Third Proportional to 366,712 and 583,511

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Solution

The third proportional to 366,712 and 583,511 is: 928,480.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,712 : 583,511 = 583,511 : x
  2. Step 2: Convert to fraction form
    366,712/583,511 = 583,511/x
  3. Step 3: Cross multiply
    366,712x = 583,511 × 583,511
  4. Step 4: Simplify right side
    366,712x = 340,485,087,121
  5. Step 5: Solve for x
    x = 340,485,087,121/366,712
  6. Step 6: Final answer
    x = 928,480.90

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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.