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Finding the Third Proportional to 361,206 and 531,335

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Solution

The third proportional to 361,206 and 531,335 is: 781,595.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,206 : 531,335 = 531,335 : x
  2. Step 2: Convert to fraction form
    361,206/531,335 = 531,335/x
  3. Step 3: Cross multiply
    361,206x = 531,335 × 531,335
  4. Step 4: Simplify right side
    361,206x = 282,316,882,225
  5. Step 5: Solve for x
    x = 282,316,882,225/361,206
  6. Step 6: Final answer
    x = 781,595.22

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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.