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Finding the Third Proportional to 536,465 and 836,382

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Solution

The third proportional to 536,465 and 836,382 is: 1,303,971.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,465 : 836,382 = 836,382 : x
  2. Step 2: Convert to fraction form
    536,465/836,382 = 836,382/x
  3. Step 3: Cross multiply
    536,465x = 836,382 × 836,382
  4. Step 4: Simplify right side
    536,465x = 699,534,849,924
  5. Step 5: Solve for x
    x = 699,534,849,924/536,465
  6. Step 6: Final answer
    x = 1,303,971.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.