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Finding the Third Proportional to 384,212 and 566,382

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Solution

The third proportional to 384,212 and 566,382 is: 834,925.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,212 : 566,382 = 566,382 : x
  2. Step 2: Convert to fraction form
    384,212/566,382 = 566,382/x
  3. Step 3: Cross multiply
    384,212x = 566,382 × 566,382
  4. Step 4: Simplify right side
    384,212x = 320,788,569,924
  5. Step 5: Solve for x
    x = 320,788,569,924/384,212
  6. Step 6: Final answer
    x = 834,925.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.