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Finding the Third Proportional to 436,700 and 662,928

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Solution

The third proportional to 436,700 and 662,928 is: 1,006,351.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,700 : 662,928 = 662,928 : x
  2. Step 2: Convert to fraction form
    436,700/662,928 = 662,928/x
  3. Step 3: Cross multiply
    436,700x = 662,928 × 662,928
  4. Step 4: Simplify right side
    436,700x = 439,473,533,184
  5. Step 5: Solve for x
    x = 439,473,533,184/436,700
  6. Step 6: Final answer
    x = 1,006,351.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.