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Finding the Third Proportional to 366,058 and 537,206

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Solution

The third proportional to 366,058 and 537,206 is: 788,373.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,058 : 537,206 = 537,206 : x
  2. Step 2: Convert to fraction form
    366,058/537,206 = 537,206/x
  3. Step 3: Cross multiply
    366,058x = 537,206 × 537,206
  4. Step 4: Simplify right side
    366,058x = 288,590,286,436
  5. Step 5: Solve for x
    x = 288,590,286,436/366,058
  6. Step 6: Final answer
    x = 788,373.12

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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.