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Finding the Third Proportional to 536,734 and 802,346

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Solution

The third proportional to 536,734 and 802,346 is: 1,199,400.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,734 : 802,346 = 802,346 : x
  2. Step 2: Convert to fraction form
    536,734/802,346 = 802,346/x
  3. Step 3: Cross multiply
    536,734x = 802,346 × 802,346
  4. Step 4: Simplify right side
    536,734x = 643,759,103,716
  5. Step 5: Solve for x
    x = 643,759,103,716/536,734
  6. Step 6: Final answer
    x = 1,199,400.64

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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.