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Finding the Third Proportional to 259,358 and 536,716

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Solution

The third proportional to 259,358 and 536,716 is: 1,110,681.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,358 : 536,716 = 536,716 : x
  2. Step 2: Convert to fraction form
    259,358/536,716 = 536,716/x
  3. Step 3: Cross multiply
    259,358x = 536,716 × 536,716
  4. Step 4: Simplify right side
    259,358x = 288,064,064,656
  5. Step 5: Solve for x
    x = 288,064,064,656/259,358
  6. Step 6: Final answer
    x = 1,110,681.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.