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Finding the Third Proportional to 529,758 and 1,160,289

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Solution

The third proportional to 529,758 and 1,160,289 is: 2,541,293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,758 : 1,160,289 = 1,160,289 : x
  2. Step 2: Convert to fraction form
    529,758/1,160,289 = 1,160,289/x
  3. Step 3: Cross multiply
    529,758x = 1,160,289 × 1,160,289
  4. Step 4: Simplify right side
    529,758x = 1,346,270,563,521
  5. Step 5: Solve for x
    x = 1,346,270,563,521/529,758
  6. Step 6: Final answer
    x = 2,541,293.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.