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Finding the Third Proportional to 436,352 and 586,368

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Solution

The third proportional to 436,352 and 586,368 is: 787,958.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,352 : 586,368 = 586,368 : x
  2. Step 2: Convert to fraction form
    436,352/586,368 = 586,368/x
  3. Step 3: Cross multiply
    436,352x = 586,368 × 586,368
  4. Step 4: Simplify right side
    436,352x = 343,827,431,424
  5. Step 5: Solve for x
    x = 343,827,431,424/436,352
  6. Step 6: Final answer
    x = 787,958.88

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.