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Finding the Third Proportional to 292,518 and 436,863.38

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Solution

The third proportional to 292,518 and 436,863.38 is: 652,437.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,518 : 436,863.38 = 436,863.38 : x
  2. Step 2: Convert to fraction form
    292,518/436,863.38 = 436,863.38/x
  3. Step 3: Cross multiply
    292,518x = 436,863.38 × 436,863.38
  4. Step 4: Simplify right side
    292,518x = 190,849,608,416.39
  5. Step 5: Solve for x
    x = 190,849,608,416.39/292,518
  6. Step 6: Final answer
    x = 652,437.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.