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Finding the Third Proportional to 262,112 and 539,776

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Solution

The third proportional to 262,112 and 539,776 is: 1,111,578.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,112 : 539,776 = 539,776 : x
  2. Step 2: Convert to fraction form
    262,112/539,776 = 539,776/x
  3. Step 3: Cross multiply
    262,112x = 539,776 × 539,776
  4. Step 4: Simplify right side
    262,112x = 291,358,130,176
  5. Step 5: Solve for x
    x = 291,358,130,176/262,112
  6. Step 6: Final answer
    x = 1,111,578.75

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.