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Finding the Third Proportional to 366,718 and 583,520

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Solution

The third proportional to 366,718 and 583,520 is: 928,494.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,718 : 583,520 = 583,520 : x
  2. Step 2: Convert to fraction form
    366,718/583,520 = 583,520/x
  3. Step 3: Cross multiply
    366,718x = 583,520 × 583,520
  4. Step 4: Simplify right side
    366,718x = 340,495,590,400
  5. Step 5: Solve for x
    x = 340,495,590,400/366,718
  6. Step 6: Final answer
    x = 928,494.35

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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.