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Finding the Third Proportional to 216,587 and 334,718

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Solution

The third proportional to 216,587 and 334,718 is: 517,280.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,587 : 334,718 = 334,718 : x
  2. Step 2: Convert to fraction form
    216,587/334,718 = 334,718/x
  3. Step 3: Cross multiply
    216,587x = 334,718 × 334,718
  4. Step 4: Simplify right side
    216,587x = 112,036,139,524
  5. Step 5: Solve for x
    x = 112,036,139,524/216,587
  6. Step 6: Final answer
    x = 517,280.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.