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Finding the Third Proportional to 596,264 and 886,284

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Solution

The third proportional to 596,264 and 886,284 is: 1,317,368.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,264 : 886,284 = 886,284 : x
  2. Step 2: Convert to fraction form
    596,264/886,284 = 886,284/x
  3. Step 3: Cross multiply
    596,264x = 886,284 × 886,284
  4. Step 4: Simplify right side
    596,264x = 785,499,328,656
  5. Step 5: Solve for x
    x = 785,499,328,656/596,264
  6. Step 6: Final answer
    x = 1,317,368.36

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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.