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Finding the Third Proportional to 240,370 and 556,443

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Solution

The third proportional to 240,370 and 556,443 is: 1,288,134.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,370 : 556,443 = 556,443 : x
  2. Step 2: Convert to fraction form
    240,370/556,443 = 556,443/x
  3. Step 3: Cross multiply
    240,370x = 556,443 × 556,443
  4. Step 4: Simplify right side
    240,370x = 309,628,812,249
  5. Step 5: Solve for x
    x = 309,628,812,249/240,370
  6. Step 6: Final answer
    x = 1,288,134.18

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.